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Finding the Third Proportional to 138,690 and 283,950

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Solution

The third proportional to 138,690 and 283,950 is: 581,351.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,690 : 283,950 = 283,950 : x
  2. Step 2: Convert to fraction form
    138,690/283,950 = 283,950/x
  3. Step 3: Cross multiply
    138,690x = 283,950 × 283,950
  4. Step 4: Simplify right side
    138,690x = 80,627,602,500
  5. Step 5: Solve for x
    x = 80,627,602,500/138,690
  6. Step 6: Final answer
    x = 581,351.23

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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.