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Finding the Third Proportional to 5,135.27 and 7,840.55

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Solution

The third proportional to 5,135.27 and 7,840.55 is: 11,970.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,135.27 : 7,840.55 = 7,840.55 : x
  2. Step 2: Convert to fraction form
    5,135.27/7,840.55 = 7,840.55/x
  3. Step 3: Cross multiply
    5,135.27x = 7,840.55 × 7,840.55
  4. Step 4: Simplify right side
    5,135.27x = 61,474,175.30
  5. Step 5: Solve for x
    x = 61,474,175.30/5,135.27
  6. Step 6: Final answer
    x = 11,970.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.