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Finding the Third Proportional to 138,645 and 283,845

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Solution

The third proportional to 138,645 and 283,845 is: 581,109.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,645 : 283,845 = 283,845 : x
  2. Step 2: Convert to fraction form
    138,645/283,845 = 283,845/x
  3. Step 3: Cross multiply
    138,645x = 283,845 × 283,845
  4. Step 4: Simplify right side
    138,645x = 80,567,984,025
  5. Step 5: Solve for x
    x = 80,567,984,025/138,645
  6. Step 6: Final answer
    x = 581,109.91

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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.