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Finding the Third Proportional to 9,900.75 and 14,405.25

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Solution

The third proportional to 9,900.75 and 14,405.25 is: 20,959.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,900.75 : 14,405.25 = 14,405.25 : x
  2. Step 2: Convert to fraction form
    9,900.75/14,405.25 = 14,405.25/x
  3. Step 3: Cross multiply
    9,900.75x = 14,405.25 × 14,405.25
  4. Step 4: Simplify right side
    9,900.75x = 207,511,227.56
  5. Step 5: Solve for x
    x = 207,511,227.56/9,900.75
  6. Step 6: Final answer
    x = 20,959.14

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.