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Finding the Third Proportional to 87,782 and 133,833

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Solution

The third proportional to 87,782 and 133,833 is: 204,042.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,782 : 133,833 = 133,833 : x
  2. Step 2: Convert to fraction form
    87,782/133,833 = 133,833/x
  3. Step 3: Cross multiply
    87,782x = 133,833 × 133,833
  4. Step 4: Simplify right side
    87,782x = 17,911,271,889
  5. Step 5: Solve for x
    x = 17,911,271,889/87,782
  6. Step 6: Final answer
    x = 204,042.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.