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Finding the Third Proportional to 5,776 and 10,192

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Solution

The third proportional to 5,776 and 10,192 is: 17,984.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776 : 10,192 = 10,192 : x
  2. Step 2: Convert to fraction form
    5,776/10,192 = 10,192/x
  3. Step 3: Cross multiply
    5,776x = 10,192 × 10,192
  4. Step 4: Simplify right side
    5,776x = 103,876,864
  5. Step 5: Solve for x
    x = 103,876,864/5,776
  6. Step 6: Final answer
    x = 17,984.22

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.