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Finding the Third Proportional to 133,736 and 291,460

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Solution

The third proportional to 133,736 and 291,460 is: 635,198.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,736 : 291,460 = 291,460 : x
  2. Step 2: Convert to fraction form
    133,736/291,460 = 291,460/x
  3. Step 3: Cross multiply
    133,736x = 291,460 × 291,460
  4. Step 4: Simplify right side
    133,736x = 84,948,931,600
  5. Step 5: Solve for x
    x = 84,948,931,600/133,736
  6. Step 6: Final answer
    x = 635,198.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.