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Finding the Third Proportional to 133,767 and 278,606

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Solution

The third proportional to 133,767 and 278,606 is: 580,272.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,767 : 278,606 = 278,606 : x
  2. Step 2: Convert to fraction form
    133,767/278,606 = 278,606/x
  3. Step 3: Cross multiply
    133,767x = 278,606 × 278,606
  4. Step 4: Simplify right side
    133,767x = 77,621,303,236
  5. Step 5: Solve for x
    x = 77,621,303,236/133,767
  6. Step 6: Final answer
    x = 580,272.44

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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.