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Finding the Third Proportional to 402,282 and 868,370

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Solution

The third proportional to 402,282 and 868,370 is: 1,874,472.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,282 : 868,370 = 868,370 : x
  2. Step 2: Convert to fraction form
    402,282/868,370 = 868,370/x
  3. Step 3: Cross multiply
    402,282x = 868,370 × 868,370
  4. Step 4: Simplify right side
    402,282x = 754,066,456,900
  5. Step 5: Solve for x
    x = 754,066,456,900/402,282
  6. Step 6: Final answer
    x = 1,874,472.28

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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.