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Finding the Third Proportional to 138,644 and 210,884

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Solution

The third proportional to 138,644 and 210,884 is: 320,764.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,644 : 210,884 = 210,884 : x
  2. Step 2: Convert to fraction form
    138,644/210,884 = 210,884/x
  3. Step 3: Cross multiply
    138,644x = 210,884 × 210,884
  4. Step 4: Simplify right side
    138,644x = 44,472,061,456
  5. Step 5: Solve for x
    x = 44,472,061,456/138,644
  6. Step 6: Final answer
    x = 320,764.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.