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Finding the Third Proportional to 3,971.53 and 8,506.90

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Solution

The third proportional to 3,971.53 and 8,506.90 is: 18,221.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.53 : 8,506.90 = 8,506.90 : x
  2. Step 2: Convert to fraction form
    3,971.53/8,506.90 = 8,506.90/x
  3. Step 3: Cross multiply
    3,971.53x = 8,506.90 × 8,506.90
  4. Step 4: Simplify right side
    3,971.53x = 72,367,321.03
  5. Step 5: Solve for x
    x = 72,367,321.03/3,971.53
  6. Step 6: Final answer
    x = 18,221.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.