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Finding the Third Proportional to 78,643.88 and 125,091.75

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Solution

The third proportional to 78,643.88 and 125,091.75 is: 198,972.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,643.88 : 125,091.75 = 125,091.75 : x
  2. Step 2: Convert to fraction form
    78,643.88/125,091.75 = 125,091.75/x
  3. Step 3: Cross multiply
    78,643.88x = 125,091.75 × 125,091.75
  4. Step 4: Simplify right side
    78,643.88x = 15,647,945,918.06
  5. Step 5: Solve for x
    x = 15,647,945,918.06/78,643.88
  6. Step 6: Final answer
    x = 198,972.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.