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Finding the Third Proportional to 110,101.78 and 121,515.19

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Solution

The third proportional to 110,101.78 and 121,515.19 is: 134,111.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,101.78 : 121,515.19 = 121,515.19 : x
  2. Step 2: Convert to fraction form
    110,101.78/121,515.19 = 121,515.19/x
  3. Step 3: Cross multiply
    110,101.78x = 121,515.19 × 121,515.19
  4. Step 4: Simplify right side
    110,101.78x = 14,765,940,793.16
  5. Step 5: Solve for x
    x = 14,765,940,793.16/110,101.78
  6. Step 6: Final answer
    x = 134,111.73

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.