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Finding the Third Proportional to 2,849.08 and 6,232.10

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Solution

The third proportional to 2,849.08 and 6,232.10 is: 13,632.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,849.08 : 6,232.10 = 6,232.10 : x
  2. Step 2: Convert to fraction form
    2,849.08/6,232.10 = 6,232.10/x
  3. Step 3: Cross multiply
    2,849.08x = 6,232.10 × 6,232.10
  4. Step 4: Simplify right side
    2,849.08x = 38,839,016.85
  5. Step 5: Solve for x
    x = 38,839,016.85/2,849.08
  6. Step 6: Final answer
    x = 13,632.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.