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Finding the Third Proportional to 6,409.97 and 9,839.39

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Solution

The third proportional to 6,409.97 and 9,839.39 is: 15,103.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.97 : 9,839.39 = 9,839.39 : x
  2. Step 2: Convert to fraction form
    6,409.97/9,839.39 = 9,839.39/x
  3. Step 3: Cross multiply
    6,409.97x = 9,839.39 × 9,839.39
  4. Step 4: Simplify right side
    6,409.97x = 96,813,607.87
  5. Step 5: Solve for x
    x = 96,813,607.87/6,409.97
  6. Step 6: Final answer
    x = 15,103.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.