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Finding the Third Proportional to 133,638 and 288,165

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Solution

The third proportional to 133,638 and 288,165 is: 621,373.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,638 : 288,165 = 288,165 : x
  2. Step 2: Convert to fraction form
    133,638/288,165 = 288,165/x
  3. Step 3: Cross multiply
    133,638x = 288,165 × 288,165
  4. Step 4: Simplify right side
    133,638x = 83,039,067,225
  5. Step 5: Solve for x
    x = 83,039,067,225/133,638
  6. Step 6: Final answer
    x = 621,373.17

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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.