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Finding the Third Proportional to 80,262 and 119,236.50

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Solution

The third proportional to 80,262 and 119,236.50 is: 177,136.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,262 : 119,236.50 = 119,236.50 : x
  2. Step 2: Convert to fraction form
    80,262/119,236.50 = 119,236.50/x
  3. Step 3: Cross multiply
    80,262x = 119,236.50 × 119,236.50
  4. Step 4: Simplify right side
    80,262x = 14,217,342,932.25
  5. Step 5: Solve for x
    x = 14,217,342,932.25/80,262
  6. Step 6: Final answer
    x = 177,136.66

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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.