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Finding the Third Proportional to 77,982.75 and 120,700.13

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Solution

The third proportional to 77,982.75 and 120,700.13 is: 186,817.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,982.75 : 120,700.13 = 120,700.13 : x
  2. Step 2: Convert to fraction form
    77,982.75/120,700.13 = 120,700.13/x
  3. Step 3: Cross multiply
    77,982.75x = 120,700.13 × 120,700.13
  4. Step 4: Simplify right side
    77,982.75x = 14,568,520,175.02
  5. Step 5: Solve for x
    x = 14,568,520,175.02/77,982.75
  6. Step 6: Final answer
    x = 186,817.22

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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.