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Finding the Third Proportional to 317,238 and 686,748

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Solution

The third proportional to 317,238 and 686,748 is: 1,486,652.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,238 : 686,748 = 686,748 : x
  2. Step 2: Convert to fraction form
    317,238/686,748 = 686,748/x
  3. Step 3: Cross multiply
    317,238x = 686,748 × 686,748
  4. Step 4: Simplify right side
    317,238x = 471,622,815,504
  5. Step 5: Solve for x
    x = 471,622,815,504/317,238
  6. Step 6: Final answer
    x = 1,486,652.97

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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.