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Finding the Third Proportional to 1,109.11 and 2,389.08

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Solution

The third proportional to 1,109.11 and 2,389.08 is: 5,146.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.11 : 2,389.08 = 2,389.08 : x
  2. Step 2: Convert to fraction form
    1,109.11/2,389.08 = 2,389.08/x
  3. Step 3: Cross multiply
    1,109.11x = 2,389.08 × 2,389.08
  4. Step 4: Simplify right side
    1,109.11x = 5,707,694.29
  5. Step 5: Solve for x
    x = 5,707,694.29/1,109.11
  6. Step 6: Final answer
    x = 5,146.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.