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Finding the Third Proportional to 7,782 and 17,143

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Solution

The third proportional to 7,782 and 17,143 is: 37,764.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782 : 17,143 = 17,143 : x
  2. Step 2: Convert to fraction form
    7,782/17,143 = 17,143/x
  3. Step 3: Cross multiply
    7,782x = 17,143 × 17,143
  4. Step 4: Simplify right side
    7,782x = 293,882,449
  5. Step 5: Solve for x
    x = 293,882,449/7,782
  6. Step 6: Final answer
    x = 37,764.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.