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Finding the Third Proportional to 133,650 and 288,193

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Solution

The third proportional to 133,650 and 288,193 is: 621,438.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,650 : 288,193 = 288,193 : x
  2. Step 2: Convert to fraction form
    133,650/288,193 = 288,193/x
  3. Step 3: Cross multiply
    133,650x = 288,193 × 288,193
  4. Step 4: Simplify right side
    133,650x = 83,055,205,249
  5. Step 5: Solve for x
    x = 83,055,205,249/133,650
  6. Step 6: Final answer
    x = 621,438.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.