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Finding the Third Proportional to 3,630.76 and 3,767.45

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Solution

The third proportional to 3,630.76 and 3,767.45 is: 3,909.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,630.76 : 3,767.45 = 3,767.45 : x
  2. Step 2: Convert to fraction form
    3,630.76/3,767.45 = 3,767.45/x
  3. Step 3: Cross multiply
    3,630.76x = 3,767.45 × 3,767.45
  4. Step 4: Simplify right side
    3,630.76x = 14,193,673.62
  5. Step 5: Solve for x
    x = 14,193,673.62/3,630.76
  6. Step 6: Final answer
    x = 3,909.28

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Why These Related Problems?

These problems maintain the same ratio (1.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.