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Finding the Third Proportional to 402,572.25 and 868,197.38

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Solution

The third proportional to 402,572.25 and 868,197.38 is: 1,872,376.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,572.25 : 868,197.38 = 868,197.38 : x
  2. Step 2: Convert to fraction form
    402,572.25/868,197.38 = 868,197.38/x
  3. Step 3: Cross multiply
    402,572.25x = 868,197.38 × 868,197.38
  4. Step 4: Simplify right side
    402,572.25x = 753,766,681,956.89
  5. Step 5: Solve for x
    x = 753,766,681,956.89/402,572.25
  6. Step 6: Final answer
    x = 1,872,376.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.