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Finding the Third Proportional to 1,540.13 and 3,638.81

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Solution

The third proportional to 1,540.13 and 3,638.81 is: 8,597.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.13 : 3,638.81 = 3,638.81 : x
  2. Step 2: Convert to fraction form
    1,540.13/3,638.81 = 3,638.81/x
  3. Step 3: Cross multiply
    1,540.13x = 3,638.81 × 3,638.81
  4. Step 4: Simplify right side
    1,540.13x = 13,240,956.41
  5. Step 5: Solve for x
    x = 13,240,956.41/1,540.13
  6. Step 6: Final answer
    x = 8,597.33

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.