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Finding the Third Proportional to 3,130.50 and 6,651.75

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Solution

The third proportional to 3,130.50 and 6,651.75 is: 14,133.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.50 : 6,651.75 = 6,651.75 : x
  2. Step 2: Convert to fraction form
    3,130.50/6,651.75 = 6,651.75/x
  3. Step 3: Cross multiply
    3,130.50x = 6,651.75 × 6,651.75
  4. Step 4: Simplify right side
    3,130.50x = 44,245,778.06
  5. Step 5: Solve for x
    x = 44,245,778.06/3,130.50
  6. Step 6: Final answer
    x = 14,133.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.