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Finding the Third Proportional to 80,931 and 120,909.75

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Solution

The third proportional to 80,931 and 120,909.75 is: 180,637.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,931 : 120,909.75 = 120,909.75 : x
  2. Step 2: Convert to fraction form
    80,931/120,909.75 = 120,909.75/x
  3. Step 3: Cross multiply
    80,931x = 120,909.75 × 120,909.75
  4. Step 4: Simplify right side
    80,931x = 14,619,167,645.06
  5. Step 5: Solve for x
    x = 14,619,167,645.06/80,931
  6. Step 6: Final answer
    x = 180,637.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.