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Finding the Third Proportional to 5,143.50 and 7,435.13

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Solution

The third proportional to 5,143.50 and 7,435.13 is: 10,747.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143.50 : 7,435.13 = 7,435.13 : x
  2. Step 2: Convert to fraction form
    5,143.50/7,435.13 = 7,435.13/x
  3. Step 3: Cross multiply
    5,143.50x = 7,435.13 × 7,435.13
  4. Step 4: Simplify right side
    5,143.50x = 55,281,083.77
  5. Step 5: Solve for x
    x = 55,281,083.77/5,143.50
  6. Step 6: Final answer
    x = 10,747.76

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.