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Finding the Third Proportional to 9,856 and 21,291

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Solution

The third proportional to 9,856 and 21,291 is: 45,992.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856 : 21,291 = 21,291 : x
  2. Step 2: Convert to fraction form
    9,856/21,291 = 21,291/x
  3. Step 3: Cross multiply
    9,856x = 21,291 × 21,291
  4. Step 4: Simplify right side
    9,856x = 453,306,681
  5. Step 5: Solve for x
    x = 453,306,681/9,856
  6. Step 6: Final answer
    x = 45,992.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.