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Finding the Third Proportional to 242,574 and 521,629

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Solution

The third proportional to 242,574 and 521,629 is: 1,121,706.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,574 : 521,629 = 521,629 : x
  2. Step 2: Convert to fraction form
    242,574/521,629 = 521,629/x
  3. Step 3: Cross multiply
    242,574x = 521,629 × 521,629
  4. Step 4: Simplify right side
    242,574x = 272,096,813,641
  5. Step 5: Solve for x
    x = 272,096,813,641/242,574
  6. Step 6: Final answer
    x = 1,121,706.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.