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Finding the Third Proportional to 80,785 and 172,566

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Solution

The third proportional to 80,785 and 172,566 is: 368,620.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,785 : 172,566 = 172,566 : x
  2. Step 2: Convert to fraction form
    80,785/172,566 = 172,566/x
  3. Step 3: Cross multiply
    80,785x = 172,566 × 172,566
  4. Step 4: Simplify right side
    80,785x = 29,779,024,356
  5. Step 5: Solve for x
    x = 29,779,024,356/80,785
  6. Step 6: Final answer
    x = 368,620.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.