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Finding the Third Proportional to 2,138.48 and 4,519.13

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Solution

The third proportional to 2,138.48 and 4,519.13 is: 9,549.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.48 : 4,519.13 = 4,519.13 : x
  2. Step 2: Convert to fraction form
    2,138.48/4,519.13 = 4,519.13/x
  3. Step 3: Cross multiply
    2,138.48x = 4,519.13 × 4,519.13
  4. Step 4: Simplify right side
    2,138.48x = 20,422,490.77
  5. Step 5: Solve for x
    x = 20,422,490.77/2,138.48
  6. Step 6: Final answer
    x = 9,549.98

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.