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Finding the Third Proportional to 137,540 and 210,398

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Solution

The third proportional to 137,540 and 210,398 is: 321,850.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,540 : 210,398 = 210,398 : x
  2. Step 2: Convert to fraction form
    137,540/210,398 = 210,398/x
  3. Step 3: Cross multiply
    137,540x = 210,398 × 210,398
  4. Step 4: Simplify right side
    137,540x = 44,267,318,404
  5. Step 5: Solve for x
    x = 44,267,318,404/137,540
  6. Step 6: Final answer
    x = 321,850.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.