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Finding the Third Proportional to 7,638.75 and 8,358.75

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Solution

The third proportional to 7,638.75 and 8,358.75 is: 9,146.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638.75 : 8,358.75 = 8,358.75 : x
  2. Step 2: Convert to fraction form
    7,638.75/8,358.75 = 8,358.75/x
  3. Step 3: Cross multiply
    7,638.75x = 8,358.75 × 8,358.75
  4. Step 4: Simplify right side
    7,638.75x = 69,868,701.56
  5. Step 5: Solve for x
    x = 69,868,701.56/7,638.75
  6. Step 6: Final answer
    x = 9,146.61

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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.