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Finding the Third Proportional to 3,722.50 and 7,985

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Solution

The third proportional to 3,722.50 and 7,985 is: 17,128.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.50 : 7,985 = 7,985 : x
  2. Step 2: Convert to fraction form
    3,722.50/7,985 = 7,985/x
  3. Step 3: Cross multiply
    3,722.50x = 7,985 × 7,985
  4. Step 4: Simplify right side
    3,722.50x = 63,760,225
  5. Step 5: Solve for x
    x = 63,760,225/3,722.50
  6. Step 6: Final answer
    x = 17,128.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.