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Finding the Third Proportional to 7,781 and 16,321

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Solution

The third proportional to 7,781 and 16,321 is: 34,234.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781 : 16,321 = 16,321 : x
  2. Step 2: Convert to fraction form
    7,781/16,321 = 16,321/x
  3. Step 3: Cross multiply
    7,781x = 16,321 × 16,321
  4. Step 4: Simplify right side
    7,781x = 266,375,041
  5. Step 5: Solve for x
    x = 266,375,041/7,781
  6. Step 6: Final answer
    x = 34,234.04

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.