Home / 284.25-463.50

Finding the Third Proportional to 284.25 and 463.50

Calculator

Solution

The third proportional to 284.25 and 463.50 is: 755.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.25 : 463.50 = 463.50 : x
  2. Step 2: Convert to fraction form
    284.25/463.50 = 463.50/x
  3. Step 3: Cross multiply
    284.25x = 463.50 × 463.50
  4. Step 4: Simplify right side
    284.25x = 214,832.25
  5. Step 5: Solve for x
    x = 214,832.25/284.25
  6. Step 6: Final answer
    x = 755.79

Related Problems

Find third proportional to 142.13 and 231.75
Half scale
Find third proportional to 568.50 and 927
Double scale
Find third proportional to 286 and 467
Similar ratio
Find third proportional to 426.38 and 695.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.