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Finding the Third Proportional to 121,827.80 and 187,499.11

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Solution

The third proportional to 121,827.80 and 187,499.11 is: 288,570.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,827.80 : 187,499.11 = 187,499.11 : x
  2. Step 2: Convert to fraction form
    121,827.80/187,499.11 = 187,499.11/x
  3. Step 3: Cross multiply
    121,827.80x = 187,499.11 × 187,499.11
  4. Step 4: Simplify right side
    121,827.80x = 35,155,916,016.42
  5. Step 5: Solve for x
    x = 35,155,916,016.42/121,827.80
  6. Step 6: Final answer
    x = 288,570.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.