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Finding the Third Proportional to 20,898 and 47,317

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Solution

The third proportional to 20,898 and 47,317 is: 107,134.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,898 : 47,317 = 47,317 : x
  2. Step 2: Convert to fraction form
    20,898/47,317 = 47,317/x
  3. Step 3: Cross multiply
    20,898x = 47,317 × 47,317
  4. Step 4: Simplify right side
    20,898x = 2,238,898,489
  5. Step 5: Solve for x
    x = 2,238,898,489/20,898
  6. Step 6: Final answer
    x = 107,134.58

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.