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Finding the Third Proportional to 80,447.25 and 120,515.25

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Solution

The third proportional to 80,447.25 and 120,515.25 is: 180,539.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,447.25 : 120,515.25 = 120,515.25 : x
  2. Step 2: Convert to fraction form
    80,447.25/120,515.25 = 120,515.25/x
  3. Step 3: Cross multiply
    80,447.25x = 120,515.25 × 120,515.25
  4. Step 4: Simplify right side
    80,447.25x = 14,523,925,482.56
  5. Step 5: Solve for x
    x = 14,523,925,482.56/80,447.25
  6. Step 6: Final answer
    x = 180,539.74

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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.