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Finding the Third Proportional to 521,709 and 829,900

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Solution

The third proportional to 521,709 and 829,900 is: 1,320,149.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,709 : 829,900 = 829,900 : x
  2. Step 2: Convert to fraction form
    521,709/829,900 = 829,900/x
  3. Step 3: Cross multiply
    521,709x = 829,900 × 829,900
  4. Step 4: Simplify right side
    521,709x = 688,734,010,000
  5. Step 5: Solve for x
    x = 688,734,010,000/521,709
  6. Step 6: Final answer
    x = 1,320,149.76

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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.