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Finding the Third Proportional to 80,578 and 133,077

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Solution

The third proportional to 80,578 and 133,077 is: 219,780.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,578 : 133,077 = 133,077 : x
  2. Step 2: Convert to fraction form
    80,578/133,077 = 133,077/x
  3. Step 3: Cross multiply
    80,578x = 133,077 × 133,077
  4. Step 4: Simplify right side
    80,578x = 17,709,487,929
  5. Step 5: Solve for x
    x = 17,709,487,929/80,578
  6. Step 6: Final answer
    x = 219,780.68

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.