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Finding the Third Proportional to 71,943.19 and 107,914.78

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Solution

The third proportional to 71,943.19 and 107,914.78 is: 161,872.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,943.19 : 107,914.78 = 107,914.78 : x
  2. Step 2: Convert to fraction form
    71,943.19/107,914.78 = 107,914.78/x
  3. Step 3: Cross multiply
    71,943.19x = 107,914.78 × 107,914.78
  4. Step 4: Simplify right side
    71,943.19x = 11,645,600,012.24
  5. Step 5: Solve for x
    x = 11,645,600,012.24/71,943.19
  6. Step 6: Final answer
    x = 161,872.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.