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Finding the Third Proportional to 1,909.13 and 2,845.69

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Solution

The third proportional to 1,909.13 and 2,845.69 is: 4,241.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.13 : 2,845.69 = 2,845.69 : x
  2. Step 2: Convert to fraction form
    1,909.13/2,845.69 = 2,845.69/x
  3. Step 3: Cross multiply
    1,909.13x = 2,845.69 × 2,845.69
  4. Step 4: Simplify right side
    1,909.13x = 8,097,937.35
  5. Step 5: Solve for x
    x = 8,097,937.35/1,909.13
  6. Step 6: Final answer
    x = 4,241.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.