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Finding the Third Proportional to 17,961.75 and 31,281.19

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Solution

The third proportional to 17,961.75 and 31,281.19 is: 54,477.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,961.75 : 31,281.19 = 31,281.19 : x
  2. Step 2: Convert to fraction form
    17,961.75/31,281.19 = 31,281.19/x
  3. Step 3: Cross multiply
    17,961.75x = 31,281.19 × 31,281.19
  4. Step 4: Simplify right side
    17,961.75x = 978,512,691.41
  5. Step 5: Solve for x
    x = 978,512,691.41/17,961.75
  6. Step 6: Final answer
    x = 54,477.58

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.