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Finding the Third Proportional to 78,857.13 and 172,981.13

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Solution

The third proportional to 78,857.13 and 172,981.13 is: 379,451.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,857.13 : 172,981.13 = 172,981.13 : x
  2. Step 2: Convert to fraction form
    78,857.13/172,981.13 = 172,981.13/x
  3. Step 3: Cross multiply
    78,857.13x = 172,981.13 × 172,981.13
  4. Step 4: Simplify right side
    78,857.13x = 29,922,469,606.27
  5. Step 5: Solve for x
    x = 29,922,469,606.27/78,857.13
  6. Step 6: Final answer
    x = 379,451.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.