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Finding the Third Proportional to 110,437 and 172,217

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Solution

The third proportional to 110,437 and 172,217 is: 268,557.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,437 : 172,217 = 172,217 : x
  2. Step 2: Convert to fraction form
    110,437/172,217 = 172,217/x
  3. Step 3: Cross multiply
    110,437x = 172,217 × 172,217
  4. Step 4: Simplify right side
    110,437x = 29,658,695,089
  5. Step 5: Solve for x
    x = 29,658,695,089/110,437
  6. Step 6: Final answer
    x = 268,557.59

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.