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Finding the Third Proportional to 22,810 and 34,122

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Solution

The third proportional to 22,810 and 34,122 is: 51,043.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,810 : 34,122 = 34,122 : x
  2. Step 2: Convert to fraction form
    22,810/34,122 = 34,122/x
  3. Step 3: Cross multiply
    22,810x = 34,122 × 34,122
  4. Step 4: Simplify right side
    22,810x = 1,164,310,884
  5. Step 5: Solve for x
    x = 1,164,310,884/22,810
  6. Step 6: Final answer
    x = 51,043.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.