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Finding the Third Proportional to 5,105.85 and 7,651.65

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Solution

The third proportional to 5,105.85 and 7,651.65 is: 11,466.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.85 : 7,651.65 = 7,651.65 : x
  2. Step 2: Convert to fraction form
    5,105.85/7,651.65 = 7,651.65/x
  3. Step 3: Cross multiply
    5,105.85x = 7,651.65 × 7,651.65
  4. Step 4: Simplify right side
    5,105.85x = 58,547,783.59
  5. Step 5: Solve for x
    x = 58,547,783.59/5,105.85
  6. Step 6: Final answer
    x = 11,466.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.