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Finding the Third Proportional to 3,109.13 and 3,412.88

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Solution

The third proportional to 3,109.13 and 3,412.88 is: 3,746.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.13 : 3,412.88 = 3,412.88 : x
  2. Step 2: Convert to fraction form
    3,109.13/3,412.88 = 3,412.88/x
  3. Step 3: Cross multiply
    3,109.13x = 3,412.88 × 3,412.88
  4. Step 4: Simplify right side
    3,109.13x = 11,647,715.77
  5. Step 5: Solve for x
    x = 11,647,715.77/3,109.13
  6. Step 6: Final answer
    x = 3,746.30

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.