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Finding the Third Proportional to 75,902 and 109,322

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Solution

The third proportional to 75,902 and 109,322 is: 157,456.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,902 : 109,322 = 109,322 : x
  2. Step 2: Convert to fraction form
    75,902/109,322 = 109,322/x
  3. Step 3: Cross multiply
    75,902x = 109,322 × 109,322
  4. Step 4: Simplify right side
    75,902x = 11,951,299,684
  5. Step 5: Solve for x
    x = 11,951,299,684/75,902
  6. Step 6: Final answer
    x = 157,456.98

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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.