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Finding the Third Proportional to 138,638.25 and 200,301.75

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Solution

The third proportional to 138,638.25 and 200,301.75 is: 289,391.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,638.25 : 200,301.75 = 200,301.75 : x
  2. Step 2: Convert to fraction form
    138,638.25/200,301.75 = 200,301.75/x
  3. Step 3: Cross multiply
    138,638.25x = 200,301.75 × 200,301.75
  4. Step 4: Simplify right side
    138,638.25x = 40,120,791,053.06
  5. Step 5: Solve for x
    x = 40,120,791,053.06/138,638.25
  6. Step 6: Final answer
    x = 289,391.93

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.