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Finding the Third Proportional to 200,432 and 431,872

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Solution

The third proportional to 200,432 and 431,872 is: 930,557.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,432 : 431,872 = 431,872 : x
  2. Step 2: Convert to fraction form
    200,432/431,872 = 431,872/x
  3. Step 3: Cross multiply
    200,432x = 431,872 × 431,872
  4. Step 4: Simplify right side
    200,432x = 186,513,424,384
  5. Step 5: Solve for x
    x = 186,513,424,384/200,432
  6. Step 6: Final answer
    x = 930,557.12

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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.