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Finding the Third Proportional to 5,198.87 and 7,615.58

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Solution

The third proportional to 5,198.87 and 7,615.58 is: 11,155.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.87 : 7,615.58 = 7,615.58 : x
  2. Step 2: Convert to fraction form
    5,198.87/7,615.58 = 7,615.58/x
  3. Step 3: Cross multiply
    5,198.87x = 7,615.58 × 7,615.58
  4. Step 4: Simplify right side
    5,198.87x = 57,997,089.67
  5. Step 5: Solve for x
    x = 57,997,089.67/5,198.87
  6. Step 6: Final answer
    x = 11,155.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.