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Finding the Third Proportional to 138,403.13 and 206,881.88

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Solution

The third proportional to 138,403.13 and 206,881.88 is: 309,242.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,403.13 : 206,881.88 = 206,881.88 : x
  2. Step 2: Convert to fraction form
    138,403.13/206,881.88 = 206,881.88/x
  3. Step 3: Cross multiply
    138,403.13x = 206,881.88 × 206,881.88
  4. Step 4: Simplify right side
    138,403.13x = 42,800,110,203.52
  5. Step 5: Solve for x
    x = 42,800,110,203.52/138,403.13
  6. Step 6: Final answer
    x = 309,242.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.