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Finding the Third Proportional to 80,518.50 and 120,781.13

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Solution

The third proportional to 80,518.50 and 120,781.13 is: 181,176.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,518.50 : 120,781.13 = 120,781.13 : x
  2. Step 2: Convert to fraction form
    80,518.50/120,781.13 = 120,781.13/x
  3. Step 3: Cross multiply
    80,518.50x = 120,781.13 × 120,781.13
  4. Step 4: Simplify right side
    80,518.50x = 14,588,080,156.27
  5. Step 5: Solve for x
    x = 14,588,080,156.27/80,518.50
  6. Step 6: Final answer
    x = 181,176.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.