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Finding the Third Proportional to 5,408.75 and 7,900.38

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Solution

The third proportional to 5,408.75 and 7,900.38 is: 11,539.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.75 : 7,900.38 = 7,900.38 : x
  2. Step 2: Convert to fraction form
    5,408.75/7,900.38 = 7,900.38/x
  3. Step 3: Cross multiply
    5,408.75x = 7,900.38 × 7,900.38
  4. Step 4: Simplify right side
    5,408.75x = 62,415,925.14
  5. Step 5: Solve for x
    x = 62,415,925.14/5,408.75
  6. Step 6: Final answer
    x = 11,539.81

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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.