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Finding the Third Proportional to 80,218.50 and 120,327.75

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Solution

The third proportional to 80,218.50 and 120,327.75 is: 180,491.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,218.50 : 120,327.75 = 120,327.75 : x
  2. Step 2: Convert to fraction form
    80,218.50/120,327.75 = 120,327.75/x
  3. Step 3: Cross multiply
    80,218.50x = 120,327.75 × 120,327.75
  4. Step 4: Simplify right side
    80,218.50x = 14,478,767,420.06
  5. Step 5: Solve for x
    x = 14,478,767,420.06/80,218.50
  6. Step 6: Final answer
    x = 180,491.63

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1.5x scale

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.