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Finding the Third Proportional to 7,381.13 and 11,648.81

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Solution

The third proportional to 7,381.13 and 11,648.81 is: 18,384.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,381.13 : 11,648.81 = 11,648.81 : x
  2. Step 2: Convert to fraction form
    7,381.13/11,648.81 = 11,648.81/x
  3. Step 3: Cross multiply
    7,381.13x = 11,648.81 × 11,648.81
  4. Step 4: Simplify right side
    7,381.13x = 135,694,832.66
  5. Step 5: Solve for x
    x = 135,694,832.66/7,381.13
  6. Step 6: Final answer
    x = 18,384.03

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.