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Finding the Third Proportional to 3,420.50 and 7,085

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Solution

The third proportional to 3,420.50 and 7,085 is: 14,675.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.50 : 7,085 = 7,085 : x
  2. Step 2: Convert to fraction form
    3,420.50/7,085 = 7,085/x
  3. Step 3: Cross multiply
    3,420.50x = 7,085 × 7,085
  4. Step 4: Simplify right side
    3,420.50x = 50,197,225
  5. Step 5: Solve for x
    x = 50,197,225/3,420.50
  6. Step 6: Final answer
    x = 14,675.41

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.