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Finding the Third Proportional to 63,918 and 138,990

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Solution

The third proportional to 63,918 and 138,990 is: 302,234.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,918 : 138,990 = 138,990 : x
  2. Step 2: Convert to fraction form
    63,918/138,990 = 138,990/x
  3. Step 3: Cross multiply
    63,918x = 138,990 × 138,990
  4. Step 4: Simplify right side
    63,918x = 19,318,220,100
  5. Step 5: Solve for x
    x = 19,318,220,100/63,918
  6. Step 6: Final answer
    x = 302,234.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.