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Finding the Third Proportional to 220,923 and 342,864

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Solution

The third proportional to 220,923 and 342,864 is: 532,111.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,923 : 342,864 = 342,864 : x
  2. Step 2: Convert to fraction form
    220,923/342,864 = 342,864/x
  3. Step 3: Cross multiply
    220,923x = 342,864 × 342,864
  4. Step 4: Simplify right side
    220,923x = 117,555,722,496
  5. Step 5: Solve for x
    x = 117,555,722,496/220,923
  6. Step 6: Final answer
    x = 532,111.74

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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.