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Finding the Third Proportional to 133,623 and 278,301

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Solution

The third proportional to 133,623 and 278,301 is: 579,626.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,623 : 278,301 = 278,301 : x
  2. Step 2: Convert to fraction form
    133,623/278,301 = 278,301/x
  3. Step 3: Cross multiply
    133,623x = 278,301 × 278,301
  4. Step 4: Simplify right side
    133,623x = 77,451,446,601
  5. Step 5: Solve for x
    x = 77,451,446,601/133,623
  6. Step 6: Final answer
    x = 579,626.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.