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Finding the Third Proportional to 2,145.38 and 4,641.19

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Solution

The third proportional to 2,145.38 and 4,641.19 is: 10,040.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.38 : 4,641.19 = 4,641.19 : x
  2. Step 2: Convert to fraction form
    2,145.38/4,641.19 = 4,641.19/x
  3. Step 3: Cross multiply
    2,145.38x = 4,641.19 × 4,641.19
  4. Step 4: Simplify right side
    2,145.38x = 21,540,621.41
  5. Step 5: Solve for x
    x = 21,540,621.41/2,145.38
  6. Step 6: Final answer
    x = 10,040.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.