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Finding the Third Proportional to 6,232.50 and 8,402.25

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Solution

The third proportional to 6,232.50 and 8,402.25 is: 11,327.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.50 : 8,402.25 = 8,402.25 : x
  2. Step 2: Convert to fraction form
    6,232.50/8,402.25 = 8,402.25/x
  3. Step 3: Cross multiply
    6,232.50x = 8,402.25 × 8,402.25
  4. Step 4: Simplify right side
    6,232.50x = 70,597,805.06
  5. Step 5: Solve for x
    x = 70,597,805.06/6,232.50
  6. Step 6: Final answer
    x = 11,327.37

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.