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Finding the Third Proportional to 6,490.13 and 13,947.19

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Solution

The third proportional to 6,490.13 and 13,947.19 is: 29,972.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.13 : 13,947.19 = 13,947.19 : x
  2. Step 2: Convert to fraction form
    6,490.13/13,947.19 = 13,947.19/x
  3. Step 3: Cross multiply
    6,490.13x = 13,947.19 × 13,947.19
  4. Step 4: Simplify right side
    6,490.13x = 194,524,039.16
  5. Step 5: Solve for x
    x = 194,524,039.16/6,490.13
  6. Step 6: Final answer
    x = 29,972.31

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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.