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Finding the Third Proportional to 121,042 and 186,667

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Solution

The third proportional to 121,042 and 186,667 is: 287,871.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,042 : 186,667 = 186,667 : x
  2. Step 2: Convert to fraction form
    121,042/186,667 = 186,667/x
  3. Step 3: Cross multiply
    121,042x = 186,667 × 186,667
  4. Step 4: Simplify right side
    121,042x = 34,844,568,889
  5. Step 5: Solve for x
    x = 34,844,568,889/121,042
  6. Step 6: Final answer
    x = 287,871.72

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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.