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Finding the Third Proportional to 6,986.50 and 15,269

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Solution

The third proportional to 6,986.50 and 15,269 is: 33,370.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.50 : 15,269 = 15,269 : x
  2. Step 2: Convert to fraction form
    6,986.50/15,269 = 15,269/x
  3. Step 3: Cross multiply
    6,986.50x = 15,269 × 15,269
  4. Step 4: Simplify right side
    6,986.50x = 233,142,361
  5. Step 5: Solve for x
    x = 233,142,361/6,986.50
  6. Step 6: Final answer
    x = 33,370.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.