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Finding the Third Proportional to 396,138 and 585,471

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Solution

The third proportional to 396,138 and 585,471 is: 865,295.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,138 : 585,471 = 585,471 : x
  2. Step 2: Convert to fraction form
    396,138/585,471 = 585,471/x
  3. Step 3: Cross multiply
    396,138x = 585,471 × 585,471
  4. Step 4: Simplify right side
    396,138x = 342,776,291,841
  5. Step 5: Solve for x
    x = 342,776,291,841/396,138
  6. Step 6: Final answer
    x = 865,295.15

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.