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Finding the Third Proportional to 31,419 and 68,368

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Solution

The third proportional to 31,419 and 68,368 is: 148,769.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,419 : 68,368 = 68,368 : x
  2. Step 2: Convert to fraction form
    31,419/68,368 = 68,368/x
  3. Step 3: Cross multiply
    31,419x = 68,368 × 68,368
  4. Step 4: Simplify right side
    31,419x = 4,674,183,424
  5. Step 5: Solve for x
    x = 4,674,183,424/31,419
  6. Step 6: Final answer
    x = 148,769.33

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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.