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Finding the Third Proportional to 317,253 and 686,775

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Solution

The third proportional to 317,253 and 686,775 is: 1,486,699.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,253 : 686,775 = 686,775 : x
  2. Step 2: Convert to fraction form
    317,253/686,775 = 686,775/x
  3. Step 3: Cross multiply
    317,253x = 686,775 × 686,775
  4. Step 4: Simplify right side
    317,253x = 471,659,900,625
  5. Step 5: Solve for x
    x = 471,659,900,625/317,253
  6. Step 6: Final answer
    x = 1,486,699.58

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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.