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Finding the Third Proportional to 30,211 and 66,397

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Solution

The third proportional to 30,211 and 66,397 is: 145,925.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,211 : 66,397 = 66,397 : x
  2. Step 2: Convert to fraction form
    30,211/66,397 = 66,397/x
  3. Step 3: Cross multiply
    30,211x = 66,397 × 66,397
  4. Step 4: Simplify right side
    30,211x = 4,408,561,609
  5. Step 5: Solve for x
    x = 4,408,561,609/30,211
  6. Step 6: Final answer
    x = 145,925.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.