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Finding the Third Proportional to 317,522 and 686,799

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Solution

The third proportional to 317,522 and 686,799 is: 1,485,543.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,522 : 686,799 = 686,799 : x
  2. Step 2: Convert to fraction form
    317,522/686,799 = 686,799/x
  3. Step 3: Cross multiply
    317,522x = 686,799 × 686,799
  4. Step 4: Simplify right side
    317,522x = 471,692,866,401
  5. Step 5: Solve for x
    x = 471,692,866,401/317,522
  6. Step 6: Final answer
    x = 1,485,543.89

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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.