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Finding the Third Proportional to 80,480.25 and 119,768.63

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Solution

The third proportional to 80,480.25 and 119,768.63 is: 178,236.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,480.25 : 119,768.63 = 119,768.63 : x
  2. Step 2: Convert to fraction form
    80,480.25/119,768.63 = 119,768.63/x
  3. Step 3: Cross multiply
    80,480.25x = 119,768.63 × 119,768.63
  4. Step 4: Simplify right side
    80,480.25x = 14,344,523,534.39
  5. Step 5: Solve for x
    x = 14,344,523,534.39/80,480.25
  6. Step 6: Final answer
    x = 178,236.57

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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.