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Finding the Third Proportional to 138,287.25 and 290,472.75

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Solution

The third proportional to 138,287.25 and 290,472.75 is: 610,138.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,287.25 : 290,472.75 = 290,472.75 : x
  2. Step 2: Convert to fraction form
    138,287.25/290,472.75 = 290,472.75/x
  3. Step 3: Cross multiply
    138,287.25x = 290,472.75 × 290,472.75
  4. Step 4: Simplify right side
    138,287.25x = 84,374,418,492.56
  5. Step 5: Solve for x
    x = 84,374,418,492.56/138,287.25
  6. Step 6: Final answer
    x = 610,138.81

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.