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Finding the Third Proportional to 62,378 and 136,422

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Solution

The third proportional to 62,378 and 136,422 is: 298,357.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,378 : 136,422 = 136,422 : x
  2. Step 2: Convert to fraction form
    62,378/136,422 = 136,422/x
  3. Step 3: Cross multiply
    62,378x = 136,422 × 136,422
  4. Step 4: Simplify right side
    62,378x = 18,610,962,084
  5. Step 5: Solve for x
    x = 18,610,962,084/62,378
  6. Step 6: Final answer
    x = 298,357.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.