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Finding the Third Proportional to 3,281.77 and 3,767.77

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Solution

The third proportional to 3,281.77 and 3,767.77 is: 4,325.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.77 : 3,767.77 = 3,767.77 : x
  2. Step 2: Convert to fraction form
    3,281.77/3,767.77 = 3,767.77/x
  3. Step 3: Cross multiply
    3,281.77x = 3,767.77 × 3,767.77
  4. Step 4: Simplify right side
    3,281.77x = 14,196,057.80
  5. Step 5: Solve for x
    x = 14,196,057.80/3,281.77
  6. Step 6: Final answer
    x = 4,325.74

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.