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Finding the Third Proportional to 6,977.81 and 9,947.81

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Solution

The third proportional to 6,977.81 and 9,947.81 is: 14,181.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977.81 : 9,947.81 = 9,947.81 : x
  2. Step 2: Convert to fraction form
    6,977.81/9,947.81 = 9,947.81/x
  3. Step 3: Cross multiply
    6,977.81x = 9,947.81 × 9,947.81
  4. Step 4: Simplify right side
    6,977.81x = 98,958,973.54
  5. Step 5: Solve for x
    x = 98,958,973.54/6,977.81
  6. Step 6: Final answer
    x = 14,181.95

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.