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Finding the Third Proportional to 3,943.13 and 9,128.81

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Solution

The third proportional to 3,943.13 and 9,128.81 is: 21,134.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,943.13 : 9,128.81 = 9,128.81 : x
  2. Step 2: Convert to fraction form
    3,943.13/9,128.81 = 9,128.81/x
  3. Step 3: Cross multiply
    3,943.13x = 9,128.81 × 9,128.81
  4. Step 4: Simplify right side
    3,943.13x = 83,335,217.66
  5. Step 5: Solve for x
    x = 83,335,217.66/3,943.13
  6. Step 6: Final answer
    x = 21,134.31

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.