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Finding the Third Proportional to 20,930 and 32,317

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Solution

The third proportional to 20,930 and 32,317 is: 49,899.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,930 : 32,317 = 32,317 : x
  2. Step 2: Convert to fraction form
    20,930/32,317 = 32,317/x
  3. Step 3: Cross multiply
    20,930x = 32,317 × 32,317
  4. Step 4: Simplify right side
    20,930x = 1,044,388,489
  5. Step 5: Solve for x
    x = 1,044,388,489/20,930
  6. Step 6: Final answer
    x = 49,899.12

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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.