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Finding the Third Proportional to 80,715 and 121,360.50

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Solution

The third proportional to 80,715 and 121,360.50 is: 182,473.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,715 : 121,360.50 = 121,360.50 : x
  2. Step 2: Convert to fraction form
    80,715/121,360.50 = 121,360.50/x
  3. Step 3: Cross multiply
    80,715x = 121,360.50 × 121,360.50
  4. Step 4: Simplify right side
    80,715x = 14,728,370,960.25
  5. Step 5: Solve for x
    x = 14,728,370,960.25/80,715
  6. Step 6: Final answer
    x = 182,473.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.