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Finding the Third Proportional to 7,603 and 8,683

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Solution

The third proportional to 7,603 and 8,683 is: 9,916.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,603 : 8,683 = 8,683 : x
  2. Step 2: Convert to fraction form
    7,603/8,683 = 8,683/x
  3. Step 3: Cross multiply
    7,603x = 8,683 × 8,683
  4. Step 4: Simplify right side
    7,603x = 75,394,489
  5. Step 5: Solve for x
    x = 75,394,489/7,603
  6. Step 6: Final answer
    x = 9,916.41

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.