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Finding the Third Proportional to 121,791.38 and 191,320.88

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Solution

The third proportional to 121,791.38 and 191,320.88 is: 300,544.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,791.38 : 191,320.88 = 191,320.88 : x
  2. Step 2: Convert to fraction form
    121,791.38/191,320.88 = 191,320.88/x
  3. Step 3: Cross multiply
    121,791.38x = 191,320.88 × 191,320.88
  4. Step 4: Simplify right side
    121,791.38x = 36,603,677,210.77
  5. Step 5: Solve for x
    x = 36,603,677,210.77/121,791.38
  6. Step 6: Final answer
    x = 300,544.08

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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.