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Finding the Third Proportional to 270,378 and 391,626

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Solution

The third proportional to 270,378 and 391,626 is: 567,246.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,378 : 391,626 = 391,626 : x
  2. Step 2: Convert to fraction form
    270,378/391,626 = 391,626/x
  3. Step 3: Cross multiply
    270,378x = 391,626 × 391,626
  4. Step 4: Simplify right side
    270,378x = 153,370,923,876
  5. Step 5: Solve for x
    x = 153,370,923,876/270,378
  6. Step 6: Final answer
    x = 567,246.31

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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.