Home / 284,748-412,434

Finding the Third Proportional to 284,748 and 412,434

Calculator

Solution

The third proportional to 284,748 and 412,434 is: 597,376.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,748 : 412,434 = 412,434 : x
  2. Step 2: Convert to fraction form
    284,748/412,434 = 412,434/x
  3. Step 3: Cross multiply
    284,748x = 412,434 × 412,434
  4. Step 4: Simplify right side
    284,748x = 170,101,804,356
  5. Step 5: Solve for x
    x = 170,101,804,356/284,748
  6. Step 6: Final answer
    x = 597,376.64

Related Problems

Find third proportional to 142,374 and 206,217
Half scale
Find third proportional to 569,496 and 824,868
Double scale
Find third proportional to 284,750 and 412,437
Similar ratio
Find third proportional to 427,122 and 618,651
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.