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Finding the Third Proportional to 55,885 and 121,231

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Solution

The third proportional to 55,885 and 121,231 is: 262,985.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,885 : 121,231 = 121,231 : x
  2. Step 2: Convert to fraction form
    55,885/121,231 = 121,231/x
  3. Step 3: Cross multiply
    55,885x = 121,231 × 121,231
  4. Step 4: Simplify right side
    55,885x = 14,696,955,361
  5. Step 5: Solve for x
    x = 14,696,955,361/55,885
  6. Step 6: Final answer
    x = 262,985.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.