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Finding the Third Proportional to 318,735 and 686,650

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Solution

The third proportional to 318,735 and 686,650 is: 1,479,248.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,735 : 686,650 = 686,650 : x
  2. Step 2: Convert to fraction form
    318,735/686,650 = 686,650/x
  3. Step 3: Cross multiply
    318,735x = 686,650 × 686,650
  4. Step 4: Simplify right side
    318,735x = 471,488,222,500
  5. Step 5: Solve for x
    x = 471,488,222,500/318,735
  6. Step 6: Final answer
    x = 1,479,248.35

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.