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Finding the Third Proportional to 109,721.25 and 143,326.13

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Solution

The third proportional to 109,721.25 and 143,326.13 is: 187,223.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,721.25 : 143,326.13 = 143,326.13 : x
  2. Step 2: Convert to fraction form
    109,721.25/143,326.13 = 143,326.13/x
  3. Step 3: Cross multiply
    109,721.25x = 143,326.13 × 143,326.13
  4. Step 4: Simplify right side
    109,721.25x = 20,542,378,107.52
  5. Step 5: Solve for x
    x = 20,542,378,107.52/109,721.25
  6. Step 6: Final answer
    x = 187,223.33

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.