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Finding the Third Proportional to 61,422 and 133,211

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Solution

The third proportional to 61,422 and 133,211 is: 288,905.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,422 : 133,211 = 133,211 : x
  2. Step 2: Convert to fraction form
    61,422/133,211 = 133,211/x
  3. Step 3: Cross multiply
    61,422x = 133,211 × 133,211
  4. Step 4: Simplify right side
    61,422x = 17,745,170,521
  5. Step 5: Solve for x
    x = 17,745,170,521/61,422
  6. Step 6: Final answer
    x = 288,905.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.