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Finding the Third Proportional to 521,717 and 829,912

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Solution

The third proportional to 521,717 and 829,912 is: 1,320,167.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,717 : 829,912 = 829,912 : x
  2. Step 2: Convert to fraction form
    521,717/829,912 = 829,912/x
  3. Step 3: Cross multiply
    521,717x = 829,912 × 829,912
  4. Step 4: Simplify right side
    521,717x = 688,753,927,744
  5. Step 5: Solve for x
    x = 688,753,927,744/521,717
  6. Step 6: Final answer
    x = 1,320,167.69

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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.