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Finding the Third Proportional to 2,115.38 and 4,640.88

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Solution

The third proportional to 2,115.38 and 4,640.88 is: 10,181.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.38 : 4,640.88 = 4,640.88 : x
  2. Step 2: Convert to fraction form
    2,115.38/4,640.88 = 4,640.88/x
  3. Step 3: Cross multiply
    2,115.38x = 4,640.88 × 4,640.88
  4. Step 4: Simplify right side
    2,115.38x = 21,537,720.77
  5. Step 5: Solve for x
    x = 21,537,720.77/2,115.38
  6. Step 6: Final answer
    x = 10,181.51

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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.