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Finding the Third Proportional to 5,087.34 and 8,169.21

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Solution

The third proportional to 5,087.34 and 8,169.21 is: 13,118.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,087.34 : 8,169.21 = 8,169.21 : x
  2. Step 2: Convert to fraction form
    5,087.34/8,169.21 = 8,169.21/x
  3. Step 3: Cross multiply
    5,087.34x = 8,169.21 × 8,169.21
  4. Step 4: Simplify right side
    5,087.34x = 66,736,055.21
  5. Step 5: Solve for x
    x = 66,736,055.21/5,087.34
  6. Step 6: Final answer
    x = 13,118.07

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.