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Finding the Third Proportional to 61,405 and 86,869

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Solution

The third proportional to 61,405 and 86,869 is: 122,892.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,405 : 86,869 = 86,869 : x
  2. Step 2: Convert to fraction form
    61,405/86,869 = 86,869/x
  3. Step 3: Cross multiply
    61,405x = 86,869 × 86,869
  4. Step 4: Simplify right side
    61,405x = 7,546,223,161
  5. Step 5: Solve for x
    x = 7,546,223,161/61,405
  6. Step 6: Final answer
    x = 122,892.65

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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.