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Finding the Third Proportional to 215,898 and 338,638

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Solution

The third proportional to 215,898 and 338,638 is: 531,156.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,898 : 338,638 = 338,638 : x
  2. Step 2: Convert to fraction form
    215,898/338,638 = 338,638/x
  3. Step 3: Cross multiply
    215,898x = 338,638 × 338,638
  4. Step 4: Simplify right side
    215,898x = 114,675,695,044
  5. Step 5: Solve for x
    x = 114,675,695,044/215,898
  6. Step 6: Final answer
    x = 531,156.82

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.