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Finding the Third Proportional to 4,991.50 and 6,940.25

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Solution

The third proportional to 4,991.50 and 6,940.25 is: 9,649.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,991.50 : 6,940.25 = 6,940.25 : x
  2. Step 2: Convert to fraction form
    4,991.50/6,940.25 = 6,940.25/x
  3. Step 3: Cross multiply
    4,991.50x = 6,940.25 × 6,940.25
  4. Step 4: Simplify right side
    4,991.50x = 48,167,070.06
  5. Step 5: Solve for x
    x = 48,167,070.06/4,991.50
  6. Step 6: Final answer
    x = 9,649.82

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.