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Finding the Third Proportional to 75,872 and 109,288

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Solution

The third proportional to 75,872 and 109,288 is: 157,421.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,872 : 109,288 = 109,288 : x
  2. Step 2: Convert to fraction form
    75,872/109,288 = 109,288/x
  3. Step 3: Cross multiply
    75,872x = 109,288 × 109,288
  4. Step 4: Simplify right side
    75,872x = 11,943,866,944
  5. Step 5: Solve for x
    x = 11,943,866,944/75,872
  6. Step 6: Final answer
    x = 157,421.27

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.