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Finding the Third Proportional to 271,778 and 399,672

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Solution

The third proportional to 271,778 and 399,672 is: 587,750.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,778 : 399,672 = 399,672 : x
  2. Step 2: Convert to fraction form
    271,778/399,672 = 399,672/x
  3. Step 3: Cross multiply
    271,778x = 399,672 × 399,672
  4. Step 4: Simplify right side
    271,778x = 159,737,707,584
  5. Step 5: Solve for x
    x = 159,737,707,584/271,778
  6. Step 6: Final answer
    x = 587,750.69

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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.