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Finding the Third Proportional to 100,092 and 117,738.75

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Solution

The third proportional to 100,092 and 117,738.75 is: 138,496.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,092 : 117,738.75 = 117,738.75 : x
  2. Step 2: Convert to fraction form
    100,092/117,738.75 = 117,738.75/x
  3. Step 3: Cross multiply
    100,092x = 117,738.75 × 117,738.75
  4. Step 4: Simplify right side
    100,092x = 13,862,413,251.56
  5. Step 5: Solve for x
    x = 13,862,413,251.56/100,092
  6. Step 6: Final answer
    x = 138,496.72

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.