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Finding the Third Proportional to 68,401.13 and 149,132.81

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Solution

The third proportional to 68,401.13 and 149,132.81 is: 325,149.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,401.13 : 149,132.81 = 149,132.81 : x
  2. Step 2: Convert to fraction form
    68,401.13/149,132.81 = 149,132.81/x
  3. Step 3: Cross multiply
    68,401.13x = 149,132.81 × 149,132.81
  4. Step 4: Simplify right side
    68,401.13x = 22,240,595,764.16
  5. Step 5: Solve for x
    x = 22,240,595,764.16/68,401.13
  6. Step 6: Final answer
    x = 325,149.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.