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Finding the Third Proportional to 3,577.50 and 7,635

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Solution

The third proportional to 3,577.50 and 7,635 is: 16,294.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.50 : 7,635 = 7,635 : x
  2. Step 2: Convert to fraction form
    3,577.50/7,635 = 7,635/x
  3. Step 3: Cross multiply
    3,577.50x = 7,635 × 7,635
  4. Step 4: Simplify right side
    3,577.50x = 58,293,225
  5. Step 5: Solve for x
    x = 58,293,225/3,577.50
  6. Step 6: Final answer
    x = 16,294.40

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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.