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Finding the Third Proportional to 137,980 and 213,882

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Solution

The third proportional to 137,980 and 213,882 is: 331,537.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,980 : 213,882 = 213,882 : x
  2. Step 2: Convert to fraction form
    137,980/213,882 = 213,882/x
  3. Step 3: Cross multiply
    137,980x = 213,882 × 213,882
  4. Step 4: Simplify right side
    137,980x = 45,745,509,924
  5. Step 5: Solve for x
    x = 45,745,509,924/137,980
  6. Step 6: Final answer
    x = 331,537.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.