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Finding the Third Proportional to 133,738 and 291,464

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Solution

The third proportional to 133,738 and 291,464 is: 635,206.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,738 : 291,464 = 291,464 : x
  2. Step 2: Convert to fraction form
    133,738/291,464 = 291,464/x
  3. Step 3: Cross multiply
    133,738x = 291,464 × 291,464
  4. Step 4: Simplify right side
    133,738x = 84,951,263,296
  5. Step 5: Solve for x
    x = 84,951,263,296/133,738
  6. Step 6: Final answer
    x = 635,206.62

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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.