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Finding the Third Proportional to 8,370.84 and 13,015.69

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Solution

The third proportional to 8,370.84 and 13,015.69 is: 20,237.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,370.84 : 13,015.69 = 13,015.69 : x
  2. Step 2: Convert to fraction form
    8,370.84/13,015.69 = 13,015.69/x
  3. Step 3: Cross multiply
    8,370.84x = 13,015.69 × 13,015.69
  4. Step 4: Simplify right side
    8,370.84x = 169,408,121.10
  5. Step 5: Solve for x
    x = 169,408,121.10/8,370.84
  6. Step 6: Final answer
    x = 20,237.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.