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Finding the Third Proportional to 133,880 and 288,496

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Solution

The third proportional to 133,880 and 288,496 is: 621,675.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,880 : 288,496 = 288,496 : x
  2. Step 2: Convert to fraction form
    133,880/288,496 = 288,496/x
  3. Step 3: Cross multiply
    133,880x = 288,496 × 288,496
  4. Step 4: Simplify right side
    133,880x = 83,229,942,016
  5. Step 5: Solve for x
    x = 83,229,942,016/133,880
  6. Step 6: Final answer
    x = 621,675.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.