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Finding the Third Proportional to 61,161 and 86,128

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Solution

The third proportional to 61,161 and 86,128 is: 121,286.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,161 : 86,128 = 86,128 : x
  2. Step 2: Convert to fraction form
    61,161/86,128 = 86,128/x
  3. Step 3: Cross multiply
    61,161x = 86,128 × 86,128
  4. Step 4: Simplify right side
    61,161x = 7,418,032,384
  5. Step 5: Solve for x
    x = 7,418,032,384/61,161
  6. Step 6: Final answer
    x = 121,286.97

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.