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Finding the Third Proportional to 7,631.44 and 8,385.75

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Solution

The third proportional to 7,631.44 and 8,385.75 is: 9,214.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,631.44 : 8,385.75 = 8,385.75 : x
  2. Step 2: Convert to fraction form
    7,631.44/8,385.75 = 8,385.75/x
  3. Step 3: Cross multiply
    7,631.44x = 8,385.75 × 8,385.75
  4. Step 4: Simplify right side
    7,631.44x = 70,320,803.06
  5. Step 5: Solve for x
    x = 70,320,803.06/7,631.44
  6. Step 6: Final answer
    x = 9,214.62

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.