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Finding the Third Proportional to 20,217 and 31,101

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Solution

The third proportional to 20,217 and 31,101 is: 47,844.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,217 : 31,101 = 31,101 : x
  2. Step 2: Convert to fraction form
    20,217/31,101 = 31,101/x
  3. Step 3: Cross multiply
    20,217x = 31,101 × 31,101
  4. Step 4: Simplify right side
    20,217x = 967,272,201
  5. Step 5: Solve for x
    x = 967,272,201/20,217
  6. Step 6: Final answer
    x = 47,844.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.