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Finding the Third Proportional to 6,977.81 and 7,251.19

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Solution

The third proportional to 6,977.81 and 7,251.19 is: 7,535.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977.81 : 7,251.19 = 7,251.19 : x
  2. Step 2: Convert to fraction form
    6,977.81/7,251.19 = 7,251.19/x
  3. Step 3: Cross multiply
    6,977.81x = 7,251.19 × 7,251.19
  4. Step 4: Simplify right side
    6,977.81x = 52,579,720.16
  5. Step 5: Solve for x
    x = 52,579,720.16/6,977.81
  6. Step 6: Final answer
    x = 7,535.27

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Why These Related Problems?

These problems maintain the same ratio (1.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.