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Finding the Third Proportional to 115,776 and 251,856

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Solution

The third proportional to 115,776 and 251,856 is: 547,880.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,776 : 251,856 = 251,856 : x
  2. Step 2: Convert to fraction form
    115,776/251,856 = 251,856/x
  3. Step 3: Cross multiply
    115,776x = 251,856 × 251,856
  4. Step 4: Simplify right side
    115,776x = 63,431,444,736
  5. Step 5: Solve for x
    x = 63,431,444,736/115,776
  6. Step 6: Final answer
    x = 547,880.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.