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Finding the Third Proportional to 318,318 and 686,448

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Solution

The third proportional to 318,318 and 686,448 is: 1,480,314.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,318 : 686,448 = 686,448 : x
  2. Step 2: Convert to fraction form
    318,318/686,448 = 686,448/x
  3. Step 3: Cross multiply
    318,318x = 686,448 × 686,448
  4. Step 4: Simplify right side
    318,318x = 471,210,856,704
  5. Step 5: Solve for x
    x = 471,210,856,704/318,318
  6. Step 6: Final answer
    x = 1,480,314.83

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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.