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Finding the Third Proportional to 5,503.50 and 7,840.13

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Solution

The third proportional to 5,503.50 and 7,840.13 is: 11,168.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,503.50 : 7,840.13 = 7,840.13 : x
  2. Step 2: Convert to fraction form
    5,503.50/7,840.13 = 7,840.13/x
  3. Step 3: Cross multiply
    5,503.50x = 7,840.13 × 7,840.13
  4. Step 4: Simplify right side
    5,503.50x = 61,467,560.02
  5. Step 5: Solve for x
    x = 61,467,560.02/5,503.50
  6. Step 6: Final answer
    x = 11,168.81

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.