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Finding the Third Proportional to 138,233.25 and 291,215.25

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Solution

The third proportional to 138,233.25 and 291,215.25 is: 613,501.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,233.25 : 291,215.25 = 291,215.25 : x
  2. Step 2: Convert to fraction form
    138,233.25/291,215.25 = 291,215.25/x
  3. Step 3: Cross multiply
    138,233.25x = 291,215.25 × 291,215.25
  4. Step 4: Simplify right side
    138,233.25x = 84,806,321,832.56
  5. Step 5: Solve for x
    x = 84,806,321,832.56/138,233.25
  6. Step 6: Final answer
    x = 613,501.61

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.