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Finding the Third Proportional to 110,418 and 172,188

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Solution

The third proportional to 110,418 and 172,188 is: 268,513.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,418 : 172,188 = 172,188 : x
  2. Step 2: Convert to fraction form
    110,418/172,188 = 172,188/x
  3. Step 3: Cross multiply
    110,418x = 172,188 × 172,188
  4. Step 4: Simplify right side
    110,418x = 29,648,707,344
  5. Step 5: Solve for x
    x = 29,648,707,344/110,418
  6. Step 6: Final answer
    x = 268,513.35

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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.