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Finding the Third Proportional to 140,904 and 218,211

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Solution

The third proportional to 140,904 and 218,211 is: 337,932.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,904 : 218,211 = 218,211 : x
  2. Step 2: Convert to fraction form
    140,904/218,211 = 218,211/x
  3. Step 3: Cross multiply
    140,904x = 218,211 × 218,211
  4. Step 4: Simplify right side
    140,904x = 47,616,040,521
  5. Step 5: Solve for x
    x = 47,616,040,521/140,904
  6. Step 6: Final answer
    x = 337,932.50

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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.