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Finding the Third Proportional to 80,047.62 and 169,321.64

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Solution

The third proportional to 80,047.62 and 169,321.64 is: 358,159.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,047.62 : 169,321.64 = 169,321.64 : x
  2. Step 2: Convert to fraction form
    80,047.62/169,321.64 = 169,321.64/x
  3. Step 3: Cross multiply
    80,047.62x = 169,321.64 × 169,321.64
  4. Step 4: Simplify right side
    80,047.62x = 28,669,817,983.94
  5. Step 5: Solve for x
    x = 28,669,817,983.94/80,047.62
  6. Step 6: Final answer
    x = 358,159.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.