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Finding the Third Proportional to 5,815.13 and 12,408.75

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Solution

The third proportional to 5,815.13 and 12,408.75 is: 26,478.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,815.13 : 12,408.75 = 12,408.75 : x
  2. Step 2: Convert to fraction form
    5,815.13/12,408.75 = 12,408.75/x
  3. Step 3: Cross multiply
    5,815.13x = 12,408.75 × 12,408.75
  4. Step 4: Simplify right side
    5,815.13x = 153,977,076.56
  5. Step 5: Solve for x
    x = 153,977,076.56/5,815.13
  6. Step 6: Final answer
    x = 26,478.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.