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Finding the Third Proportional to 138,888.25 and 298,853.38

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Solution

The third proportional to 138,888.25 and 298,853.38 is: 643,059.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,888.25 : 298,853.38 = 298,853.38 : x
  2. Step 2: Convert to fraction form
    138,888.25/298,853.38 = 298,853.38/x
  3. Step 3: Cross multiply
    138,888.25x = 298,853.38 × 298,853.38
  4. Step 4: Simplify right side
    138,888.25x = 89,313,339,748.89
  5. Step 5: Solve for x
    x = 89,313,339,748.89/138,888.25
  6. Step 6: Final answer
    x = 643,059.00

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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.