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Finding the Third Proportional to 388,676 and 516,660

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Solution

The third proportional to 388,676 and 516,660 is: 686,786.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,676 : 516,660 = 516,660 : x
  2. Step 2: Convert to fraction form
    388,676/516,660 = 516,660/x
  3. Step 3: Cross multiply
    388,676x = 516,660 × 516,660
  4. Step 4: Simplify right side
    388,676x = 266,937,555,600
  5. Step 5: Solve for x
    x = 266,937,555,600/388,676
  6. Step 6: Final answer
    x = 686,786.82

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.