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Finding the Third Proportional to 3,157.75 and 4,903

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Solution

The third proportional to 3,157.75 and 4,903 is: 7,612.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.75 : 4,903 = 4,903 : x
  2. Step 2: Convert to fraction form
    3,157.75/4,903 = 4,903/x
  3. Step 3: Cross multiply
    3,157.75x = 4,903 × 4,903
  4. Step 4: Simplify right side
    3,157.75x = 24,039,409
  5. Step 5: Solve for x
    x = 24,039,409/3,157.75
  6. Step 6: Final answer
    x = 7,612.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.