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Finding the Third Proportional to 81,378 and 125,988.75

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Solution

The third proportional to 81,378 and 125,988.75 is: 195,054.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,378 : 125,988.75 = 125,988.75 : x
  2. Step 2: Convert to fraction form
    81,378/125,988.75 = 125,988.75/x
  3. Step 3: Cross multiply
    81,378x = 125,988.75 × 125,988.75
  4. Step 4: Simplify right side
    81,378x = 15,873,165,126.56
  5. Step 5: Solve for x
    x = 15,873,165,126.56/81,378
  6. Step 6: Final answer
    x = 195,054.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.