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Finding the Third Proportional to 55,995 and 121,831

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Solution

The third proportional to 55,995 and 121,831 is: 265,073.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,995 : 121,831 = 121,831 : x
  2. Step 2: Convert to fraction form
    55,995/121,831 = 121,831/x
  3. Step 3: Cross multiply
    55,995x = 121,831 × 121,831
  4. Step 4: Simplify right side
    55,995x = 14,842,792,561
  5. Step 5: Solve for x
    x = 14,842,792,561/55,995
  6. Step 6: Final answer
    x = 265,073.53

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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.