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Finding the Third Proportional to 80,517 and 176,964

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Solution

The third proportional to 80,517 and 176,964 is: 388,939.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,517 : 176,964 = 176,964 : x
  2. Step 2: Convert to fraction form
    80,517/176,964 = 176,964/x
  3. Step 3: Cross multiply
    80,517x = 176,964 × 176,964
  4. Step 4: Simplify right side
    80,517x = 31,316,257,296
  5. Step 5: Solve for x
    x = 31,316,257,296/80,517
  6. Step 6: Final answer
    x = 388,939.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.