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Finding the Third Proportional to 318,764 and 686,708

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Solution

The third proportional to 318,764 and 686,708 is: 1,479,363.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,764 : 686,708 = 686,708 : x
  2. Step 2: Convert to fraction form
    318,764/686,708 = 686,708/x
  3. Step 3: Cross multiply
    318,764x = 686,708 × 686,708
  4. Step 4: Simplify right side
    318,764x = 471,567,877,264
  5. Step 5: Solve for x
    x = 471,567,877,264/318,764
  6. Step 6: Final answer
    x = 1,479,363.66

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Why These Related Problems?

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