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Finding the Third Proportional to 8,289.56 and 12,189.66

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Solution

The third proportional to 8,289.56 and 12,189.66 is: 17,924.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.56 : 12,189.66 = 12,189.66 : x
  2. Step 2: Convert to fraction form
    8,289.56/12,189.66 = 12,189.66/x
  3. Step 3: Cross multiply
    8,289.56x = 12,189.66 × 12,189.66
  4. Step 4: Simplify right side
    8,289.56x = 148,587,719.49
  5. Step 5: Solve for x
    x = 148,587,719.49/8,289.56
  6. Step 6: Final answer
    x = 17,924.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.