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Finding the Third Proportional to 317,230 and 686,731

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Solution

The third proportional to 317,230 and 686,731 is: 1,486,616.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,230 : 686,731 = 686,731 : x
  2. Step 2: Convert to fraction form
    317,230/686,731 = 686,731/x
  3. Step 3: Cross multiply
    317,230x = 686,731 × 686,731
  4. Step 4: Simplify right side
    317,230x = 471,599,466,361
  5. Step 5: Solve for x
    x = 471,599,466,361/317,230
  6. Step 6: Final answer
    x = 1,486,616.86

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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.