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Finding the Third Proportional to 78,778.69 and 172,864.13

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Solution

The third proportional to 78,778.69 and 172,864.13 is: 379,315.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,778.69 : 172,864.13 = 172,864.13 : x
  2. Step 2: Convert to fraction form
    78,778.69/172,864.13 = 172,864.13/x
  3. Step 3: Cross multiply
    78,778.69x = 172,864.13 × 172,864.13
  4. Step 4: Simplify right side
    78,778.69x = 29,882,005,712.02
  5. Step 5: Solve for x
    x = 29,882,005,712.02/78,778.69
  6. Step 6: Final answer
    x = 379,315.86

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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.