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Finding the Third Proportional to 3,131.16 and 4,811.91

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Solution

The third proportional to 3,131.16 and 4,811.91 is: 7,394.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.16 : 4,811.91 = 4,811.91 : x
  2. Step 2: Convert to fraction form
    3,131.16/4,811.91 = 4,811.91/x
  3. Step 3: Cross multiply
    3,131.16x = 4,811.91 × 4,811.91
  4. Step 4: Simplify right side
    3,131.16x = 23,154,441.76
  5. Step 5: Solve for x
    x = 23,154,441.76/3,131.16
  6. Step 6: Final answer
    x = 7,394.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.