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Finding the Third Proportional to 3,987.75 and 9,314.63

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Solution

The third proportional to 3,987.75 and 9,314.63 is: 21,757.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987.75 : 9,314.63 = 9,314.63 : x
  2. Step 2: Convert to fraction form
    3,987.75/9,314.63 = 9,314.63/x
  3. Step 3: Cross multiply
    3,987.75x = 9,314.63 × 9,314.63
  4. Step 4: Simplify right side
    3,987.75x = 86,762,238.89
  5. Step 5: Solve for x
    x = 86,762,238.89/3,987.75
  6. Step 6: Final answer
    x = 21,757.19

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.