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Finding the Third Proportional to 7,733 and 8,549

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Solution

The third proportional to 7,733 and 8,549 is: 9,451.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,733 : 8,549 = 8,549 : x
  2. Step 2: Convert to fraction form
    7,733/8,549 = 8,549/x
  3. Step 3: Cross multiply
    7,733x = 8,549 × 8,549
  4. Step 4: Simplify right side
    7,733x = 73,085,401
  5. Step 5: Solve for x
    x = 73,085,401/7,733
  6. Step 6: Final answer
    x = 9,451.11

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.