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Finding the Third Proportional to 4,182.38 and 8,638.13

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Solution

The third proportional to 4,182.38 and 8,638.13 is: 17,840.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182.38 : 8,638.13 = 8,638.13 : x
  2. Step 2: Convert to fraction form
    4,182.38/8,638.13 = 8,638.13/x
  3. Step 3: Cross multiply
    4,182.38x = 8,638.13 × 8,638.13
  4. Step 4: Simplify right side
    4,182.38x = 74,617,203.52
  5. Step 5: Solve for x
    x = 74,617,203.52/4,182.38
  6. Step 6: Final answer
    x = 17,840.87

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.