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Finding the Third Proportional to 138,520.13 and 298,226.81

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Solution

The third proportional to 138,520.13 and 298,226.81 is: 642,067.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,520.13 : 298,226.81 = 298,226.81 : x
  2. Step 2: Convert to fraction form
    138,520.13/298,226.81 = 298,226.81/x
  3. Step 3: Cross multiply
    138,520.13x = 298,226.81 × 298,226.81
  4. Step 4: Simplify right side
    138,520.13x = 88,939,231,693.91
  5. Step 5: Solve for x
    x = 88,939,231,693.91/138,520.13
  6. Step 6: Final answer
    x = 642,067.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.