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Finding the Third Proportional to 138,344 and 208,786

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Solution

The third proportional to 138,344 and 208,786 is: 315,095.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,344 : 208,786 = 208,786 : x
  2. Step 2: Convert to fraction form
    138,344/208,786 = 208,786/x
  3. Step 3: Cross multiply
    138,344x = 208,786 × 208,786
  4. Step 4: Simplify right side
    138,344x = 43,591,593,796
  5. Step 5: Solve for x
    x = 43,591,593,796/138,344
  6. Step 6: Final answer
    x = 315,095.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.