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Finding the Third Proportional to 8,550 and 13,133.25

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Solution

The third proportional to 8,550 and 13,133.25 is: 20,173.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,550 : 13,133.25 = 13,133.25 : x
  2. Step 2: Convert to fraction form
    8,550/13,133.25 = 13,133.25/x
  3. Step 3: Cross multiply
    8,550x = 13,133.25 × 13,133.25
  4. Step 4: Simplify right side
    8,550x = 172,482,255.56
  5. Step 5: Solve for x
    x = 172,482,255.56/8,550
  6. Step 6: Final answer
    x = 20,173.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.