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Finding the Third Proportional to 521,715 and 829,908

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Solution

The third proportional to 521,715 and 829,908 is: 1,320,160.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,715 : 829,908 = 829,908 : x
  2. Step 2: Convert to fraction form
    521,715/829,908 = 829,908/x
  3. Step 3: Cross multiply
    521,715x = 829,908 × 829,908
  4. Step 4: Simplify right side
    521,715x = 688,747,288,464
  5. Step 5: Solve for x
    x = 688,747,288,464/521,715
  6. Step 6: Final answer
    x = 1,320,160.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.