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Finding the Third Proportional to 73,000 and 80,680

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Solution

The third proportional to 73,000 and 80,680 is: 89,167.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,000 : 80,680 = 80,680 : x
  2. Step 2: Convert to fraction form
    73,000/80,680 = 80,680/x
  3. Step 3: Cross multiply
    73,000x = 80,680 × 80,680
  4. Step 4: Simplify right side
    73,000x = 6,509,262,400
  5. Step 5: Solve for x
    x = 6,509,262,400/73,000
  6. Step 6: Final answer
    x = 89,167.98

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.