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Finding the Third Proportional to 2,809.13 and 3,895.88

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Solution

The third proportional to 2,809.13 and 3,895.88 is: 5,403.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.13 : 3,895.88 = 3,895.88 : x
  2. Step 2: Convert to fraction form
    2,809.13/3,895.88 = 3,895.88/x
  3. Step 3: Cross multiply
    2,809.13x = 3,895.88 × 3,895.88
  4. Step 4: Simplify right side
    2,809.13x = 15,177,842.02
  5. Step 5: Solve for x
    x = 15,177,842.02/2,809.13
  6. Step 6: Final answer
    x = 5,403.05

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.