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Finding the Third Proportional to 131,801 and 288,694

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Solution

The third proportional to 131,801 and 288,694 is: 632,348.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,801 : 288,694 = 288,694 : x
  2. Step 2: Convert to fraction form
    131,801/288,694 = 288,694/x
  3. Step 3: Cross multiply
    131,801x = 288,694 × 288,694
  4. Step 4: Simplify right side
    131,801x = 83,344,225,636
  5. Step 5: Solve for x
    x = 83,344,225,636/131,801
  6. Step 6: Final answer
    x = 632,348.96

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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.