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Finding the Third Proportional to 22,252 and 60,580

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Solution

The third proportional to 22,252 and 60,580 is: 164,926.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,252 : 60,580 = 60,580 : x
  2. Step 2: Convert to fraction form
    22,252/60,580 = 60,580/x
  3. Step 3: Cross multiply
    22,252x = 60,580 × 60,580
  4. Step 4: Simplify right side
    22,252x = 3,669,936,400
  5. Step 5: Solve for x
    x = 3,669,936,400/22,252
  6. Step 6: Final answer
    x = 164,926.14

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.