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Finding the Third Proportional to 121,682 and 188,331

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Solution

The third proportional to 121,682 and 188,331 is: 291,485.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,682 : 188,331 = 188,331 : x
  2. Step 2: Convert to fraction form
    121,682/188,331 = 188,331/x
  3. Step 3: Cross multiply
    121,682x = 188,331 × 188,331
  4. Step 4: Simplify right side
    121,682x = 35,468,565,561
  5. Step 5: Solve for x
    x = 35,468,565,561/121,682
  6. Step 6: Final answer
    x = 291,485.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.