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Finding the Third Proportional to 7,511.50 and 11,677.38

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Solution

The third proportional to 7,511.50 and 11,677.38 is: 18,153.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,511.50 : 11,677.38 = 11,677.38 : x
  2. Step 2: Convert to fraction form
    7,511.50/11,677.38 = 11,677.38/x
  3. Step 3: Cross multiply
    7,511.50x = 11,677.38 × 11,677.38
  4. Step 4: Simplify right side
    7,511.50x = 136,361,086.89
  5. Step 5: Solve for x
    x = 136,361,086.89/7,511.50
  6. Step 6: Final answer
    x = 18,153.64

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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.