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Finding the Third Proportional to 71,983.50 and 107,988.75

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Solution

The third proportional to 71,983.50 and 107,988.75 is: 162,003.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,983.50 : 107,988.75 = 107,988.75 : x
  2. Step 2: Convert to fraction form
    71,983.50/107,988.75 = 107,988.75/x
  3. Step 3: Cross multiply
    71,983.50x = 107,988.75 × 107,988.75
  4. Step 4: Simplify right side
    71,983.50x = 11,661,570,126.56
  5. Step 5: Solve for x
    x = 11,661,570,126.56/71,983.50
  6. Step 6: Final answer
    x = 162,003.38

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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.