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Finding the Third Proportional to 143,876 and 336,048

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Solution

The third proportional to 143,876 and 336,048 is: 784,899.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,876 : 336,048 = 336,048 : x
  2. Step 2: Convert to fraction form
    143,876/336,048 = 336,048/x
  3. Step 3: Cross multiply
    143,876x = 336,048 × 336,048
  4. Step 4: Simplify right side
    143,876x = 112,928,258,304
  5. Step 5: Solve for x
    x = 112,928,258,304/143,876
  6. Step 6: Final answer
    x = 784,899.90

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.