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Finding the Third Proportional to 7,201 and 9,609

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Solution

The third proportional to 7,201 and 9,609 is: 12,822.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201 : 9,609 = 9,609 : x
  2. Step 2: Convert to fraction form
    7,201/9,609 = 9,609/x
  3. Step 3: Cross multiply
    7,201x = 9,609 × 9,609
  4. Step 4: Simplify right side
    7,201x = 92,332,881
  5. Step 5: Solve for x
    x = 92,332,881/7,201
  6. Step 6: Final answer
    x = 12,822.23

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.