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Finding the Third Proportional to 3,113.84 and 4,626.41

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Solution

The third proportional to 3,113.84 and 4,626.41 is: 6,873.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.84 : 4,626.41 = 4,626.41 : x
  2. Step 2: Convert to fraction form
    3,113.84/4,626.41 = 4,626.41/x
  3. Step 3: Cross multiply
    3,113.84x = 4,626.41 × 4,626.41
  4. Step 4: Simplify right side
    3,113.84x = 21,403,670.93
  5. Step 5: Solve for x
    x = 21,403,670.93/3,113.84
  6. Step 6: Final answer
    x = 6,873.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.