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Finding the Third Proportional to 121,086 and 188,987

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Solution

The third proportional to 121,086 and 188,987 is: 294,964.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,086 : 188,987 = 188,987 : x
  2. Step 2: Convert to fraction form
    121,086/188,987 = 188,987/x
  3. Step 3: Cross multiply
    121,086x = 188,987 × 188,987
  4. Step 4: Simplify right side
    121,086x = 35,716,086,169
  5. Step 5: Solve for x
    x = 35,716,086,169/121,086
  6. Step 6: Final answer
    x = 294,964.62

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.