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Finding the Third Proportional to 2,565.74 and 5,408.65

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Solution

The third proportional to 2,565.74 and 5,408.65 is: 11,401.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.74 : 5,408.65 = 5,408.65 : x
  2. Step 2: Convert to fraction form
    2,565.74/5,408.65 = 5,408.65/x
  3. Step 3: Cross multiply
    2,565.74x = 5,408.65 × 5,408.65
  4. Step 4: Simplify right side
    2,565.74x = 29,253,477.92
  5. Step 5: Solve for x
    x = 29,253,477.92/2,565.74
  6. Step 6: Final answer
    x = 11,401.58

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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.