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Finding the Third Proportional to 6,996.69 and 10,490.77

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Solution

The third proportional to 6,996.69 and 10,490.77 is: 15,729.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996.69 : 10,490.77 = 10,490.77 : x
  2. Step 2: Convert to fraction form
    6,996.69/10,490.77 = 10,490.77/x
  3. Step 3: Cross multiply
    6,996.69x = 10,490.77 × 10,490.77
  4. Step 4: Simplify right side
    6,996.69x = 110,056,163.40
  5. Step 5: Solve for x
    x = 110,056,163.40/6,996.69
  6. Step 6: Final answer
    x = 15,729.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.