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Finding the Third Proportional to 133,882 and 278,851

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Solution

The third proportional to 133,882 and 278,851 is: 580,794.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,882 : 278,851 = 278,851 : x
  2. Step 2: Convert to fraction form
    133,882/278,851 = 278,851/x
  3. Step 3: Cross multiply
    133,882x = 278,851 × 278,851
  4. Step 4: Simplify right side
    133,882x = 77,757,880,201
  5. Step 5: Solve for x
    x = 77,757,880,201/133,882
  6. Step 6: Final answer
    x = 580,794.13

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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.