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Finding the Third Proportional to 7,677.75 and 20,683

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Solution

The third proportional to 7,677.75 and 20,683 is: 55,717.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.75 : 20,683 = 20,683 : x
  2. Step 2: Convert to fraction form
    7,677.75/20,683 = 20,683/x
  3. Step 3: Cross multiply
    7,677.75x = 20,683 × 20,683
  4. Step 4: Simplify right side
    7,677.75x = 427,786,489
  5. Step 5: Solve for x
    x = 427,786,489/7,677.75
  6. Step 6: Final answer
    x = 55,717.69

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.