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Finding the Third Proportional to 10,224.56 and 11,166.19

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Solution

The third proportional to 10,224.56 and 11,166.19 is: 12,194.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,224.56 : 11,166.19 = 11,166.19 : x
  2. Step 2: Convert to fraction form
    10,224.56/11,166.19 = 11,166.19/x
  3. Step 3: Cross multiply
    10,224.56x = 11,166.19 × 11,166.19
  4. Step 4: Simplify right side
    10,224.56x = 124,683,743.29
  5. Step 5: Solve for x
    x = 124,683,743.29/10,224.56
  6. Step 6: Final answer
    x = 12,194.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.