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Finding the Third Proportional to 8,100 and 10,550

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Solution

The third proportional to 8,100 and 10,550 is: 13,741.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,100 : 10,550 = 10,550 : x
  2. Step 2: Convert to fraction form
    8,100/10,550 = 10,550/x
  3. Step 3: Cross multiply
    8,100x = 10,550 × 10,550
  4. Step 4: Simplify right side
    8,100x = 111,302,500
  5. Step 5: Solve for x
    x = 111,302,500/8,100
  6. Step 6: Final answer
    x = 13,741.05

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.