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Finding the Third Proportional to 143,856 and 313,452

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Solution

The third proportional to 143,856 and 313,452 is: 682,989.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,856 : 313,452 = 313,452 : x
  2. Step 2: Convert to fraction form
    143,856/313,452 = 313,452/x
  3. Step 3: Cross multiply
    143,856x = 313,452 × 313,452
  4. Step 4: Simplify right side
    143,856x = 98,252,156,304
  5. Step 5: Solve for x
    x = 98,252,156,304/143,856
  6. Step 6: Final answer
    x = 682,989.63

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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.