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Finding the Third Proportional to 121,765.50 and 191,062.13

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Solution

The third proportional to 121,765.50 and 191,062.13 is: 299,795.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,765.50 : 191,062.13 = 191,062.13 : x
  2. Step 2: Convert to fraction form
    121,765.50/191,062.13 = 191,062.13/x
  3. Step 3: Cross multiply
    121,765.50x = 191,062.13 × 191,062.13
  4. Step 4: Simplify right side
    121,765.50x = 36,504,735,609.52
  5. Step 5: Solve for x
    x = 36,504,735,609.52/121,765.50
  6. Step 6: Final answer
    x = 299,795.39

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.