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Finding the Third Proportional to 6,613 and 8,829

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Solution

The third proportional to 6,613 and 8,829 is: 11,787.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,613 : 8,829 = 8,829 : x
  2. Step 2: Convert to fraction form
    6,613/8,829 = 8,829/x
  3. Step 3: Cross multiply
    6,613x = 8,829 × 8,829
  4. Step 4: Simplify right side
    6,613x = 77,951,241
  5. Step 5: Solve for x
    x = 77,951,241/6,613
  6. Step 6: Final answer
    x = 11,787.58

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.