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Finding the Third Proportional to 138,659 and 283,888

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Solution

The third proportional to 138,659 and 283,888 is: 581,227.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,659 : 283,888 = 283,888 : x
  2. Step 2: Convert to fraction form
    138,659/283,888 = 283,888/x
  3. Step 3: Cross multiply
    138,659x = 283,888 × 283,888
  4. Step 4: Simplify right side
    138,659x = 80,592,396,544
  5. Step 5: Solve for x
    x = 80,592,396,544/138,659
  6. Step 6: Final answer
    x = 581,227.30

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.