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Finding the Third Proportional to 80,493 and 119,787

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Solution

The third proportional to 80,493 and 119,787 is: 178,263.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,493 : 119,787 = 119,787 : x
  2. Step 2: Convert to fraction form
    80,493/119,787 = 119,787/x
  3. Step 3: Cross multiply
    80,493x = 119,787 × 119,787
  4. Step 4: Simplify right side
    80,493x = 14,348,925,369
  5. Step 5: Solve for x
    x = 14,348,925,369/80,493
  6. Step 6: Final answer
    x = 178,263.02

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Why These Related Problems?

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