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Finding the Third Proportional to 108,129 and 172,186

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Solution

The third proportional to 108,129 and 172,186 is: 274,191.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,129 : 172,186 = 172,186 : x
  2. Step 2: Convert to fraction form
    108,129/172,186 = 172,186/x
  3. Step 3: Cross multiply
    108,129x = 172,186 × 172,186
  4. Step 4: Simplify right side
    108,129x = 29,648,018,596
  5. Step 5: Solve for x
    x = 29,648,018,596/108,129
  6. Step 6: Final answer
    x = 274,191.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.