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Finding the Third Proportional to 7,408.13 and 11,727.28

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Solution

The third proportional to 7,408.13 and 11,727.28 is: 18,564.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,408.13 : 11,727.28 = 11,727.28 : x
  2. Step 2: Convert to fraction form
    7,408.13/11,727.28 = 11,727.28/x
  3. Step 3: Cross multiply
    7,408.13x = 11,727.28 × 11,727.28
  4. Step 4: Simplify right side
    7,408.13x = 137,529,125.52
  5. Step 5: Solve for x
    x = 137,529,125.52/7,408.13
  6. Step 6: Final answer
    x = 18,564.63

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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.