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Finding the Third Proportional to 8,370.56 and 11,399.06

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Solution

The third proportional to 8,370.56 and 11,399.06 is: 15,523.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,370.56 : 11,399.06 = 11,399.06 : x
  2. Step 2: Convert to fraction form
    8,370.56/11,399.06 = 11,399.06/x
  3. Step 3: Cross multiply
    8,370.56x = 11,399.06 × 11,399.06
  4. Step 4: Simplify right side
    8,370.56x = 129,938,625.88
  5. Step 5: Solve for x
    x = 129,938,625.88/8,370.56
  6. Step 6: Final answer
    x = 15,523.28

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.