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Finding the Third Proportional to 143,823 and 313,599

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Solution

The third proportional to 143,823 and 313,599 is: 683,787.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,823 : 313,599 = 313,599 : x
  2. Step 2: Convert to fraction form
    143,823/313,599 = 313,599/x
  3. Step 3: Cross multiply
    143,823x = 313,599 × 313,599
  4. Step 4: Simplify right side
    143,823x = 98,344,332,801
  5. Step 5: Solve for x
    x = 98,344,332,801/143,823
  6. Step 6: Final answer
    x = 683,787.24

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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.