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Finding the Third Proportional to 80,419.50 and 176,701.50

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Solution

The third proportional to 80,419.50 and 176,701.50 is: 388,256.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,419.50 : 176,701.50 = 176,701.50 : x
  2. Step 2: Convert to fraction form
    80,419.50/176,701.50 = 176,701.50/x
  3. Step 3: Cross multiply
    80,419.50x = 176,701.50 × 176,701.50
  4. Step 4: Simplify right side
    80,419.50x = 31,223,420,102.25
  5. Step 5: Solve for x
    x = 31,223,420,102.25/80,419.50
  6. Step 6: Final answer
    x = 388,256.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.