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Finding the Third Proportional to 10,640.25 and 22,625.25

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Solution

The third proportional to 10,640.25 and 22,625.25 is: 48,109.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,640.25 : 22,625.25 = 22,625.25 : x
  2. Step 2: Convert to fraction form
    10,640.25/22,625.25 = 22,625.25/x
  3. Step 3: Cross multiply
    10,640.25x = 22,625.25 × 22,625.25
  4. Step 4: Simplify right side
    10,640.25x = 511,901,937.56
  5. Step 5: Solve for x
    x = 511,901,937.56/10,640.25
  6. Step 6: Final answer
    x = 48,109.95

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.