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Finding the Third Proportional to 402,672 and 868,392

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Solution

The third proportional to 402,672 and 868,392 is: 1,872,751.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,672 : 868,392 = 868,392 : x
  2. Step 2: Convert to fraction form
    402,672/868,392 = 868,392/x
  3. Step 3: Cross multiply
    402,672x = 868,392 × 868,392
  4. Step 4: Simplify right side
    402,672x = 754,104,665,664
  5. Step 5: Solve for x
    x = 754,104,665,664/402,672
  6. Step 6: Final answer
    x = 1,872,751.68

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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.