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Finding the Third Proportional to 188,408 and 409,540

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Solution

The third proportional to 188,408 and 409,540 is: 890,211.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,408 : 409,540 = 409,540 : x
  2. Step 2: Convert to fraction form
    188,408/409,540 = 409,540/x
  3. Step 3: Cross multiply
    188,408x = 409,540 × 409,540
  4. Step 4: Simplify right side
    188,408x = 167,723,011,600
  5. Step 5: Solve for x
    x = 167,723,011,600/188,408
  6. Step 6: Final answer
    x = 890,211.73

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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.