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Finding the Third Proportional to 317,241 and 686,754

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Solution

The third proportional to 317,241 and 686,754 is: 1,486,664.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,241 : 686,754 = 686,754 : x
  2. Step 2: Convert to fraction form
    317,241/686,754 = 686,754/x
  3. Step 3: Cross multiply
    317,241x = 686,754 × 686,754
  4. Step 4: Simplify right side
    317,241x = 471,631,056,516
  5. Step 5: Solve for x
    x = 471,631,056,516/317,241
  6. Step 6: Final answer
    x = 1,486,664.89

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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.