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Finding the Third Proportional to 107,872 and 172,332

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Solution

The third proportional to 107,872 and 172,332 is: 275,310.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,872 : 172,332 = 172,332 : x
  2. Step 2: Convert to fraction form
    107,872/172,332 = 172,332/x
  3. Step 3: Cross multiply
    107,872x = 172,332 × 172,332
  4. Step 4: Simplify right side
    107,872x = 29,698,318,224
  5. Step 5: Solve for x
    x = 29,698,318,224/107,872
  6. Step 6: Final answer
    x = 275,310.72

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.