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Finding the Third Proportional to 366,528 and 516,142

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Solution

The third proportional to 366,528 and 516,142 is: 726,827.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,528 : 516,142 = 516,142 : x
  2. Step 2: Convert to fraction form
    366,528/516,142 = 516,142/x
  3. Step 3: Cross multiply
    366,528x = 516,142 × 516,142
  4. Step 4: Simplify right side
    366,528x = 266,402,564,164
  5. Step 5: Solve for x
    x = 266,402,564,164/366,528
  6. Step 6: Final answer
    x = 726,827.32

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.