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Finding the Third Proportional to 55,856 and 121,561

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Solution

The third proportional to 55,856 and 121,561 is: 264,556.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,856 : 121,561 = 121,561 : x
  2. Step 2: Convert to fraction form
    55,856/121,561 = 121,561/x
  3. Step 3: Cross multiply
    55,856x = 121,561 × 121,561
  4. Step 4: Simplify right side
    55,856x = 14,777,076,721
  5. Step 5: Solve for x
    x = 14,777,076,721/55,856
  6. Step 6: Final answer
    x = 264,556.66

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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.