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Finding the Third Proportional to 85,686 and 133,999

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Solution

The third proportional to 85,686 and 133,999 is: 209,552.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,686 : 133,999 = 133,999 : x
  2. Step 2: Convert to fraction form
    85,686/133,999 = 133,999/x
  3. Step 3: Cross multiply
    85,686x = 133,999 × 133,999
  4. Step 4: Simplify right side
    85,686x = 17,955,732,001
  5. Step 5: Solve for x
    x = 17,955,732,001/85,686
  6. Step 6: Final answer
    x = 209,552.69

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.