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Finding the Third Proportional to 2,389.50 and 5,145.19

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Solution

The third proportional to 2,389.50 and 5,145.19 is: 11,078.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.50 : 5,145.19 = 5,145.19 : x
  2. Step 2: Convert to fraction form
    2,389.50/5,145.19 = 5,145.19/x
  3. Step 3: Cross multiply
    2,389.50x = 5,145.19 × 5,145.19
  4. Step 4: Simplify right side
    2,389.50x = 26,472,954.41
  5. Step 5: Solve for x
    x = 26,472,954.41/2,389.50
  6. Step 6: Final answer
    x = 11,078.87

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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.