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Finding the Third Proportional to 85,458 and 186,999

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Solution

The third proportional to 85,458 and 186,999 is: 409,190.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,458 : 186,999 = 186,999 : x
  2. Step 2: Convert to fraction form
    85,458/186,999 = 186,999/x
  3. Step 3: Cross multiply
    85,458x = 186,999 × 186,999
  4. Step 4: Simplify right side
    85,458x = 34,968,626,001
  5. Step 5: Solve for x
    x = 34,968,626,001/85,458
  6. Step 6: Final answer
    x = 409,190.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.