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Finding the Third Proportional to 128,001 and 172,314

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Solution

The third proportional to 128,001 and 172,314 is: 231,967.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,001 : 172,314 = 172,314 : x
  2. Step 2: Convert to fraction form
    128,001/172,314 = 172,314/x
  3. Step 3: Cross multiply
    128,001x = 172,314 × 172,314
  4. Step 4: Simplify right side
    128,001x = 29,692,114,596
  5. Step 5: Solve for x
    x = 29,692,114,596/128,001
  6. Step 6: Final answer
    x = 231,967.83

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.