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Finding the Third Proportional to 133,864 and 278,826

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Solution

The third proportional to 133,864 and 278,826 is: 580,768.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,864 : 278,826 = 278,826 : x
  2. Step 2: Convert to fraction form
    133,864/278,826 = 278,826/x
  3. Step 3: Cross multiply
    133,864x = 278,826 × 278,826
  4. Step 4: Simplify right side
    133,864x = 77,743,938,276
  5. Step 5: Solve for x
    x = 77,743,938,276/133,864
  6. Step 6: Final answer
    x = 580,768.08

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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.