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Finding the Third Proportional to 7,645.22 and 11,815.73

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Solution

The third proportional to 7,645.22 and 11,815.73 is: 18,261.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645.22 : 11,815.73 = 11,815.73 : x
  2. Step 2: Convert to fraction form
    7,645.22/11,815.73 = 11,815.73/x
  3. Step 3: Cross multiply
    7,645.22x = 11,815.73 × 11,815.73
  4. Step 4: Simplify right side
    7,645.22x = 139,611,578.82
  5. Step 5: Solve for x
    x = 139,611,578.82/7,645.22
  6. Step 6: Final answer
    x = 18,261.29

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1.5x scale

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.