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Finding the Third Proportional to 20,217 and 47,221

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Solution

The third proportional to 20,217 and 47,221 is: 110,294.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,217 : 47,221 = 47,221 : x
  2. Step 2: Convert to fraction form
    20,217/47,221 = 47,221/x
  3. Step 3: Cross multiply
    20,217x = 47,221 × 47,221
  4. Step 4: Simplify right side
    20,217x = 2,229,822,841
  5. Step 5: Solve for x
    x = 2,229,822,841/20,217
  6. Step 6: Final answer
    x = 110,294.45

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.