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Finding the Third Proportional to 6,206.50 and 13,505

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Solution

The third proportional to 6,206.50 and 13,505 is: 29,386.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.50 : 13,505 = 13,505 : x
  2. Step 2: Convert to fraction form
    6,206.50/13,505 = 13,505/x
  3. Step 3: Cross multiply
    6,206.50x = 13,505 × 13,505
  4. Step 4: Simplify right side
    6,206.50x = 182,385,025
  5. Step 5: Solve for x
    x = 182,385,025/6,206.50
  6. Step 6: Final answer
    x = 29,386.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.