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Finding the Third Proportional to 8,782 and 19,412

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Solution

The third proportional to 8,782 and 19,412 is: 42,908.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,782 : 19,412 = 19,412 : x
  2. Step 2: Convert to fraction form
    8,782/19,412 = 19,412/x
  3. Step 3: Cross multiply
    8,782x = 19,412 × 19,412
  4. Step 4: Simplify right side
    8,782x = 376,825,744
  5. Step 5: Solve for x
    x = 376,825,744/8,782
  6. Step 6: Final answer
    x = 42,908.88

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.