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Finding the Third Proportional to 3,113.91 and 4,843.86

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Solution

The third proportional to 3,113.91 and 4,843.86 is: 7,534.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.91 : 4,843.86 = 4,843.86 : x
  2. Step 2: Convert to fraction form
    3,113.91/4,843.86 = 4,843.86/x
  3. Step 3: Cross multiply
    3,113.91x = 4,843.86 × 4,843.86
  4. Step 4: Simplify right side
    3,113.91x = 23,463,011.49
  5. Step 5: Solve for x
    x = 23,463,011.49/3,113.91
  6. Step 6: Final answer
    x = 7,534.90

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.