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Finding the Third Proportional to 2,109 and 4,621.13

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Solution

The third proportional to 2,109 and 4,621.13 is: 10,125.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109 : 4,621.13 = 4,621.13 : x
  2. Step 2: Convert to fraction form
    2,109/4,621.13 = 4,621.13/x
  3. Step 3: Cross multiply
    2,109x = 4,621.13 × 4,621.13
  4. Step 4: Simplify right side
    2,109x = 21,354,796.27
  5. Step 5: Solve for x
    x = 21,354,796.27/2,109
  6. Step 6: Final answer
    x = 10,125.56

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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.