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Finding the Third Proportional to 31,424 and 68,378

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Solution

The third proportional to 31,424 and 68,378 is: 148,789.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,424 : 68,378 = 68,378 : x
  2. Step 2: Convert to fraction form
    31,424/68,378 = 68,378/x
  3. Step 3: Cross multiply
    31,424x = 68,378 × 68,378
  4. Step 4: Simplify right side
    31,424x = 4,675,550,884
  5. Step 5: Solve for x
    x = 4,675,550,884/31,424
  6. Step 6: Final answer
    x = 148,789.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.