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Finding the Third Proportional to 138,644 and 283,856

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Solution

The third proportional to 138,644 and 283,856 is: 581,159.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,644 : 283,856 = 283,856 : x
  2. Step 2: Convert to fraction form
    138,644/283,856 = 283,856/x
  3. Step 3: Cross multiply
    138,644x = 283,856 × 283,856
  4. Step 4: Simplify right side
    138,644x = 80,574,228,736
  5. Step 5: Solve for x
    x = 80,574,228,736/138,644
  6. Step 6: Final answer
    x = 581,159.15

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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.