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Finding the Third Proportional to 6,899.87 and 9,318.96

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Solution

The third proportional to 6,899.87 and 9,318.96 is: 12,586.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,899.87 : 9,318.96 = 9,318.96 : x
  2. Step 2: Convert to fraction form
    6,899.87/9,318.96 = 9,318.96/x
  3. Step 3: Cross multiply
    6,899.87x = 9,318.96 × 9,318.96
  4. Step 4: Simplify right side
    6,899.87x = 86,842,923.75
  5. Step 5: Solve for x
    x = 86,842,923.75/6,899.87
  6. Step 6: Final answer
    x = 12,586.17

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.