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Finding the Third Proportional to 80,429 and 125,239.50

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Solution

The third proportional to 80,429 and 125,239.50 is: 195,015.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,429 : 125,239.50 = 125,239.50 : x
  2. Step 2: Convert to fraction form
    80,429/125,239.50 = 125,239.50/x
  3. Step 3: Cross multiply
    80,429x = 125,239.50 × 125,239.50
  4. Step 4: Simplify right side
    80,429x = 15,684,932,360.25
  5. Step 5: Solve for x
    x = 15,684,932,360.25/80,429
  6. Step 6: Final answer
    x = 195,015.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.