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Finding the Third Proportional to 31,378 and 45,366

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Solution

The third proportional to 31,378 and 45,366 is: 65,589.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,378 : 45,366 = 45,366 : x
  2. Step 2: Convert to fraction form
    31,378/45,366 = 45,366/x
  3. Step 3: Cross multiply
    31,378x = 45,366 × 45,366
  4. Step 4: Simplify right side
    31,378x = 2,058,073,956
  5. Step 5: Solve for x
    x = 2,058,073,956/31,378
  6. Step 6: Final answer
    x = 65,589.71

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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.