Home / 256,273.88-407,299.64

Finding the Third Proportional to 256,273.88 and 407,299.64

Calculator

Solution

The third proportional to 256,273.88 and 407,299.64 is: 647,326.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,273.88 : 407,299.64 = 407,299.64 : x
  2. Step 2: Convert to fraction form
    256,273.88/407,299.64 = 407,299.64/x
  3. Step 3: Cross multiply
    256,273.88x = 407,299.64 × 407,299.64
  4. Step 4: Simplify right side
    256,273.88x = 165,892,997,253.25
  5. Step 5: Solve for x
    x = 165,892,997,253.25/256,273.88
  6. Step 6: Final answer
    x = 647,326.99

Related Problems

Find third proportional to 128,136.94 and 203,649.82
Half scale
Find third proportional to 512,547.75 and 814,599.28
Double scale
Find third proportional to 256,276 and 407,303
Similar ratio
Find third proportional to 384,410.81 and 610,949.46
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.