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Finding the Third Proportional to 111,387 and 172,629

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Solution

The third proportional to 111,387 and 172,629 is: 267,542.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,387 : 172,629 = 172,629 : x
  2. Step 2: Convert to fraction form
    111,387/172,629 = 172,629/x
  3. Step 3: Cross multiply
    111,387x = 172,629 × 172,629
  4. Step 4: Simplify right side
    111,387x = 29,800,771,641
  5. Step 5: Solve for x
    x = 29,800,771,641/111,387
  6. Step 6: Final answer
    x = 267,542.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.