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Finding the Third Proportional to 3,122.50 and 6,642.25

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Solution

The third proportional to 3,122.50 and 6,642.25 is: 14,129.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.50 : 6,642.25 = 6,642.25 : x
  2. Step 2: Convert to fraction form
    3,122.50/6,642.25 = 6,642.25/x
  3. Step 3: Cross multiply
    3,122.50x = 6,642.25 × 6,642.25
  4. Step 4: Simplify right side
    3,122.50x = 44,119,485.06
  5. Step 5: Solve for x
    x = 44,119,485.06/3,122.50
  6. Step 6: Final answer
    x = 14,129.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.