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Finding the Third Proportional to 6,103.50 and 7,446

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Solution

The third proportional to 6,103.50 and 7,446 is: 9,083.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,103.50 : 7,446 = 7,446 : x
  2. Step 2: Convert to fraction form
    6,103.50/7,446 = 7,446/x
  3. Step 3: Cross multiply
    6,103.50x = 7,446 × 7,446
  4. Step 4: Simplify right side
    6,103.50x = 55,442,916
  5. Step 5: Solve for x
    x = 55,442,916/6,103.50
  6. Step 6: Final answer
    x = 9,083.79

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These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.