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Finding the Third Proportional to 366,973 and 516,780

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Solution

The third proportional to 366,973 and 516,780 is: 727,741.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,973 : 516,780 = 516,780 : x
  2. Step 2: Convert to fraction form
    366,973/516,780 = 516,780/x
  3. Step 3: Cross multiply
    366,973x = 516,780 × 516,780
  4. Step 4: Simplify right side
    366,973x = 267,061,568,400
  5. Step 5: Solve for x
    x = 267,061,568,400/366,973
  6. Step 6: Final answer
    x = 727,741.74

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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.