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Finding the Third Proportional to 78,344.72 and 176,976.14

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Solution

The third proportional to 78,344.72 and 176,976.14 is: 399,778.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,344.72 : 176,976.14 = 176,976.14 : x
  2. Step 2: Convert to fraction form
    78,344.72/176,976.14 = 176,976.14/x
  3. Step 3: Cross multiply
    78,344.72x = 176,976.14 × 176,976.14
  4. Step 4: Simplify right side
    78,344.72x = 31,320,554,350.52
  5. Step 5: Solve for x
    x = 31,320,554,350.52/78,344.72
  6. Step 6: Final answer
    x = 399,778.76

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.