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Finding the Third Proportional to 6,864.75 and 8,918.86

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Solution

The third proportional to 6,864.75 and 8,918.86 is: 11,587.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.75 : 8,918.86 = 8,918.86 : x
  2. Step 2: Convert to fraction form
    6,864.75/8,918.86 = 8,918.86/x
  3. Step 3: Cross multiply
    6,864.75x = 8,918.86 × 8,918.86
  4. Step 4: Simplify right side
    6,864.75x = 79,546,052.55
  5. Step 5: Solve for x
    x = 79,546,052.55/6,864.75
  6. Step 6: Final answer
    x = 11,587.61

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.