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Finding the Third Proportional to 138,683 and 283,939

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Solution

The third proportional to 138,683 and 283,939 is: 581,335.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,683 : 283,939 = 283,939 : x
  2. Step 2: Convert to fraction form
    138,683/283,939 = 283,939/x
  3. Step 3: Cross multiply
    138,683x = 283,939 × 283,939
  4. Step 4: Simplify right side
    138,683x = 80,621,355,721
  5. Step 5: Solve for x
    x = 80,621,355,721/138,683
  6. Step 6: Final answer
    x = 581,335.53

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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.