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Finding the Third Proportional to 138,686.63 and 298,441.13

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Solution

The third proportional to 138,686.63 and 298,441.13 is: 642,218.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,686.63 : 298,441.13 = 298,441.13 : x
  2. Step 2: Convert to fraction form
    138,686.63/298,441.13 = 298,441.13/x
  3. Step 3: Cross multiply
    138,686.63x = 298,441.13 × 298,441.13
  4. Step 4: Simplify right side
    138,686.63x = 89,067,105,091.27
  5. Step 5: Solve for x
    x = 89,067,105,091.27/138,686.63
  6. Step 6: Final answer
    x = 642,218.42

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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.