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Finding the Third Proportional to 138,296 and 213,587

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Solution

The third proportional to 138,296 and 213,587 is: 329,867.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,296 : 213,587 = 213,587 : x
  2. Step 2: Convert to fraction form
    138,296/213,587 = 213,587/x
  3. Step 3: Cross multiply
    138,296x = 213,587 × 213,587
  4. Step 4: Simplify right side
    138,296x = 45,619,406,569
  5. Step 5: Solve for x
    x = 45,619,406,569/138,296
  6. Step 6: Final answer
    x = 329,867.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.