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Finding the Third Proportional to 7,877 and 17,291

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Solution

The third proportional to 7,877 and 17,291 is: 37,955.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877 : 17,291 = 17,291 : x
  2. Step 2: Convert to fraction form
    7,877/17,291 = 17,291/x
  3. Step 3: Cross multiply
    7,877x = 17,291 × 17,291
  4. Step 4: Simplify right side
    7,877x = 298,978,681
  5. Step 5: Solve for x
    x = 298,978,681/7,877
  6. Step 6: Final answer
    x = 37,955.91

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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.