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Finding the Third Proportional to 8,340.75 and 9,879.75

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Solution

The third proportional to 8,340.75 and 9,879.75 is: 11,702.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,340.75 : 9,879.75 = 9,879.75 : x
  2. Step 2: Convert to fraction form
    8,340.75/9,879.75 = 9,879.75/x
  3. Step 3: Cross multiply
    8,340.75x = 9,879.75 × 9,879.75
  4. Step 4: Simplify right side
    8,340.75x = 97,609,460.06
  5. Step 5: Solve for x
    x = 97,609,460.06/8,340.75
  6. Step 6: Final answer
    x = 11,702.72

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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.