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Finding the Third Proportional to 80,555 and 172,774

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Solution

The third proportional to 80,555 and 172,774 is: 370,564.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,555 : 172,774 = 172,774 : x
  2. Step 2: Convert to fraction form
    80,555/172,774 = 172,774/x
  3. Step 3: Cross multiply
    80,555x = 172,774 × 172,774
  4. Step 4: Simplify right side
    80,555x = 29,850,855,076
  5. Step 5: Solve for x
    x = 29,850,855,076/80,555
  6. Step 6: Final answer
    x = 370,564.89

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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.