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Finding the Third Proportional to 270,462 and 391,734

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Solution

The third proportional to 270,462 and 391,734 is: 567,382.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,462 : 391,734 = 391,734 : x
  2. Step 2: Convert to fraction form
    270,462/391,734 = 391,734/x
  3. Step 3: Cross multiply
    270,462x = 391,734 × 391,734
  4. Step 4: Simplify right side
    270,462x = 153,455,526,756
  5. Step 5: Solve for x
    x = 153,455,526,756/270,462
  6. Step 6: Final answer
    x = 567,382.95

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.