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Finding the Third Proportional to 9,625.50 and 14,571.56

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Solution

The third proportional to 9,625.50 and 14,571.56 is: 22,059.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,625.50 : 14,571.56 = 14,571.56 : x
  2. Step 2: Convert to fraction form
    9,625.50/14,571.56 = 14,571.56/x
  3. Step 3: Cross multiply
    9,625.50x = 14,571.56 × 14,571.56
  4. Step 4: Simplify right side
    9,625.50x = 212,330,433.69
  5. Step 5: Solve for x
    x = 212,330,433.69/9,625.50
  6. Step 6: Final answer
    x = 22,059.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.