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Finding the Third Proportional to 85,578 and 186,075

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Solution

The third proportional to 85,578 and 186,075 is: 404,588.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,578 : 186,075 = 186,075 : x
  2. Step 2: Convert to fraction form
    85,578/186,075 = 186,075/x
  3. Step 3: Cross multiply
    85,578x = 186,075 × 186,075
  4. Step 4: Simplify right side
    85,578x = 34,623,905,625
  5. Step 5: Solve for x
    x = 34,623,905,625/85,578
  6. Step 6: Final answer
    x = 404,588.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.