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Finding the Third Proportional to 80,757.75 and 120,347.63

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Solution

The third proportional to 80,757.75 and 120,347.63 is: 179,345.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,757.75 : 120,347.63 = 120,347.63 : x
  2. Step 2: Convert to fraction form
    80,757.75/120,347.63 = 120,347.63/x
  3. Step 3: Cross multiply
    80,757.75x = 120,347.63 × 120,347.63
  4. Step 4: Simplify right side
    80,757.75x = 14,483,550,843.14
  5. Step 5: Solve for x
    x = 14,483,550,843.14/80,757.75
  6. Step 6: Final answer
    x = 179,345.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.