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Finding the Third Proportional to 121,893 and 188,367

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Solution

The third proportional to 121,893 and 188,367 is: 291,092.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,893 : 188,367 = 188,367 : x
  2. Step 2: Convert to fraction form
    121,893/188,367 = 188,367/x
  3. Step 3: Cross multiply
    121,893x = 188,367 × 188,367
  4. Step 4: Simplify right side
    121,893x = 35,482,126,689
  5. Step 5: Solve for x
    x = 35,482,126,689/121,893
  6. Step 6: Final answer
    x = 291,092.41

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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.