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Finding the Third Proportional to 70,449 and 109,251

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Solution

The third proportional to 70,449 and 109,251 is: 169,424.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,449 : 109,251 = 109,251 : x
  2. Step 2: Convert to fraction form
    70,449/109,251 = 109,251/x
  3. Step 3: Cross multiply
    70,449x = 109,251 × 109,251
  4. Step 4: Simplify right side
    70,449x = 11,935,781,001
  5. Step 5: Solve for x
    x = 11,935,781,001/70,449
  6. Step 6: Final answer
    x = 169,424.42

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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.