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Finding the Third Proportional to 133,578 and 207,756

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Solution

The third proportional to 133,578 and 207,756 is: 323,126.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,578 : 207,756 = 207,756 : x
  2. Step 2: Convert to fraction form
    133,578/207,756 = 207,756/x
  3. Step 3: Cross multiply
    133,578x = 207,756 × 207,756
  4. Step 4: Simplify right side
    133,578x = 43,162,555,536
  5. Step 5: Solve for x
    x = 43,162,555,536/133,578
  6. Step 6: Final answer
    x = 323,126.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.