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Finding the Third Proportional to 133,005 and 291,849

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Solution

The third proportional to 133,005 and 291,849 is: 640,395.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,005 : 291,849 = 291,849 : x
  2. Step 2: Convert to fraction form
    133,005/291,849 = 291,849/x
  3. Step 3: Cross multiply
    133,005x = 291,849 × 291,849
  4. Step 4: Simplify right side
    133,005x = 85,175,838,801
  5. Step 5: Solve for x
    x = 85,175,838,801/133,005
  6. Step 6: Final answer
    x = 640,395.77

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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.