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Finding the Third Proportional to 80,722.50 and 125,989.50

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Solution

The third proportional to 80,722.50 and 125,989.50 is: 196,641.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,722.50 : 125,989.50 = 125,989.50 : x
  2. Step 2: Convert to fraction form
    80,722.50/125,989.50 = 125,989.50/x
  3. Step 3: Cross multiply
    80,722.50x = 125,989.50 × 125,989.50
  4. Step 4: Simplify right side
    80,722.50x = 15,873,354,110.25
  5. Step 5: Solve for x
    x = 15,873,354,110.25/80,722.50
  6. Step 6: Final answer
    x = 196,641.01

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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.