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Finding the Third Proportional to 8,417.67 and 9,906.05

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Solution

The third proportional to 8,417.67 and 9,906.05 is: 11,657.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,417.67 : 9,906.05 = 9,906.05 : x
  2. Step 2: Convert to fraction form
    8,417.67/9,906.05 = 9,906.05/x
  3. Step 3: Cross multiply
    8,417.67x = 9,906.05 × 9,906.05
  4. Step 4: Simplify right side
    8,417.67x = 98,129,764.69
  5. Step 5: Solve for x
    x = 98,129,764.69/8,417.67
  6. Step 6: Final answer
    x = 11,657.59

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.