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Finding the Third Proportional to 7,671.94 and 8,377.88

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Solution

The third proportional to 7,671.94 and 8,377.88 is: 9,148.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,671.94 : 8,377.88 = 8,377.88 : x
  2. Step 2: Convert to fraction form
    7,671.94/8,377.88 = 8,377.88/x
  3. Step 3: Cross multiply
    7,671.94x = 8,377.88 × 8,377.88
  4. Step 4: Simplify right side
    7,671.94x = 70,188,789.52
  5. Step 5: Solve for x
    x = 70,188,789.52/7,671.94
  6. Step 6: Final answer
    x = 9,148.77

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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.