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Finding the Third Proportional to 271,370 and 398,919

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Solution

The third proportional to 271,370 and 398,919 is: 586,418.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,370 : 398,919 = 398,919 : x
  2. Step 2: Convert to fraction form
    271,370/398,919 = 398,919/x
  3. Step 3: Cross multiply
    271,370x = 398,919 × 398,919
  4. Step 4: Simplify right side
    271,370x = 159,136,368,561
  5. Step 5: Solve for x
    x = 159,136,368,561/271,370
  6. Step 6: Final answer
    x = 586,418.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.