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Finding the Third Proportional to 9,781 and 10,807

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Solution

The third proportional to 9,781 and 10,807 is: 11,940.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781 : 10,807 = 10,807 : x
  2. Step 2: Convert to fraction form
    9,781/10,807 = 10,807/x
  3. Step 3: Cross multiply
    9,781x = 10,807 × 10,807
  4. Step 4: Simplify right side
    9,781x = 116,791,249
  5. Step 5: Solve for x
    x = 116,791,249/9,781
  6. Step 6: Final answer
    x = 11,940.62

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.