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Finding the Third Proportional to 81,259 and 129,760.50

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Solution

The third proportional to 81,259 and 129,760.50 is: 207,211.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,259 : 129,760.50 = 129,760.50 : x
  2. Step 2: Convert to fraction form
    81,259/129,760.50 = 129,760.50/x
  3. Step 3: Cross multiply
    81,259x = 129,760.50 × 129,760.50
  4. Step 4: Simplify right side
    81,259x = 16,837,787,360.25
  5. Step 5: Solve for x
    x = 16,837,787,360.25/81,259
  6. Step 6: Final answer
    x = 207,211.35

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.