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Finding the Third Proportional to 133,109 and 288,349

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Solution

The third proportional to 133,109 and 288,349 is: 624,639.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,109 : 288,349 = 288,349 : x
  2. Step 2: Convert to fraction form
    133,109/288,349 = 288,349/x
  3. Step 3: Cross multiply
    133,109x = 288,349 × 288,349
  4. Step 4: Simplify right side
    133,109x = 83,145,145,801
  5. Step 5: Solve for x
    x = 83,145,145,801/133,109
  6. Step 6: Final answer
    x = 624,639.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.