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Finding the Third Proportional to 7,207.50 and 15,645.25

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Solution

The third proportional to 7,207.50 and 15,645.25 is: 33,960.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,207.50 : 15,645.25 = 15,645.25 : x
  2. Step 2: Convert to fraction form
    7,207.50/15,645.25 = 15,645.25/x
  3. Step 3: Cross multiply
    7,207.50x = 15,645.25 × 15,645.25
  4. Step 4: Simplify right side
    7,207.50x = 244,773,847.56
  5. Step 5: Solve for x
    x = 244,773,847.56/7,207.50
  6. Step 6: Final answer
    x = 33,960.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.