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Finding the Third Proportional to 7,781 and 9,996

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Solution

The third proportional to 7,781 and 9,996 is: 12,841.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781 : 9,996 = 9,996 : x
  2. Step 2: Convert to fraction form
    7,781/9,996 = 9,996/x
  3. Step 3: Cross multiply
    7,781x = 9,996 × 9,996
  4. Step 4: Simplify right side
    7,781x = 99,920,016
  5. Step 5: Solve for x
    x = 99,920,016/7,781
  6. Step 6: Final answer
    x = 12,841.54

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.