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Finding the Third Proportional to 218,500 and 295,211

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Solution

The third proportional to 218,500 and 295,211 is: 398,853.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,500 : 295,211 = 295,211 : x
  2. Step 2: Convert to fraction form
    218,500/295,211 = 295,211/x
  3. Step 3: Cross multiply
    218,500x = 295,211 × 295,211
  4. Step 4: Simplify right side
    218,500x = 87,149,534,521
  5. Step 5: Solve for x
    x = 87,149,534,521/218,500
  6. Step 6: Final answer
    x = 398,853.70

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.