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Finding the Third Proportional to 121,473 and 188,568

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Solution

The third proportional to 121,473 and 188,568 is: 292,722.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,473 : 188,568 = 188,568 : x
  2. Step 2: Convert to fraction form
    121,473/188,568 = 188,568/x
  3. Step 3: Cross multiply
    121,473x = 188,568 × 188,568
  4. Step 4: Simplify right side
    121,473x = 35,557,890,624
  5. Step 5: Solve for x
    x = 35,557,890,624/121,473
  6. Step 6: Final answer
    x = 292,722.59

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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.