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Finding the Third Proportional to 8,196.56 and 17,561.81

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Solution

The third proportional to 8,196.56 and 17,561.81 is: 37,627.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.56 : 17,561.81 = 17,561.81 : x
  2. Step 2: Convert to fraction form
    8,196.56/17,561.81 = 17,561.81/x
  3. Step 3: Cross multiply
    8,196.56x = 17,561.81 × 17,561.81
  4. Step 4: Simplify right side
    8,196.56x = 308,417,258.29
  5. Step 5: Solve for x
    x = 308,417,258.29/8,196.56
  6. Step 6: Final answer
    x = 37,627.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.