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Finding the Third Proportional to 78,780.38 and 172,866.38

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Solution

The third proportional to 78,780.38 and 172,866.38 is: 379,317.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,780.38 : 172,866.38 = 172,866.38 : x
  2. Step 2: Convert to fraction form
    78,780.38/172,866.38 = 172,866.38/x
  3. Step 3: Cross multiply
    78,780.38x = 172,866.38 × 172,866.38
  4. Step 4: Simplify right side
    78,780.38x = 29,882,783,605.64
  5. Step 5: Solve for x
    x = 29,882,783,605.64/78,780.38
  6. Step 6: Final answer
    x = 379,317.61

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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.