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Finding the Third Proportional to 55,417 and 81,161

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Solution

The third proportional to 55,417 and 81,161 is: 118,864.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,417 : 81,161 = 81,161 : x
  2. Step 2: Convert to fraction form
    55,417/81,161 = 81,161/x
  3. Step 3: Cross multiply
    55,417x = 81,161 × 81,161
  4. Step 4: Simplify right side
    55,417x = 6,587,107,921
  5. Step 5: Solve for x
    x = 6,587,107,921/55,417
  6. Step 6: Final answer
    x = 118,864.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.