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Finding the Third Proportional to 138,952.13 and 298,969.31

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Solution

The third proportional to 138,952.13 and 298,969.31 is: 643,262.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,952.13 : 298,969.31 = 298,969.31 : x
  2. Step 2: Convert to fraction form
    138,952.13/298,969.31 = 298,969.31/x
  3. Step 3: Cross multiply
    138,952.13x = 298,969.31 × 298,969.31
  4. Step 4: Simplify right side
    138,952.13x = 89,382,649,816.72
  5. Step 5: Solve for x
    x = 89,382,649,816.72/138,952.13
  6. Step 6: Final answer
    x = 643,262.20

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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.