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Finding the Third Proportional to 132,576 and 200,796

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Solution

The third proportional to 132,576 and 200,796 is: 304,120.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,576 : 200,796 = 200,796 : x
  2. Step 2: Convert to fraction form
    132,576/200,796 = 200,796/x
  3. Step 3: Cross multiply
    132,576x = 200,796 × 200,796
  4. Step 4: Simplify right side
    132,576x = 40,319,033,616
  5. Step 5: Solve for x
    x = 40,319,033,616/132,576
  6. Step 6: Final answer
    x = 304,120.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.