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Finding the Third Proportional to 85,817.50 and 179,477

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Solution

The third proportional to 85,817.50 and 179,477 is: 375,354.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,817.50 : 179,477 = 179,477 : x
  2. Step 2: Convert to fraction form
    85,817.50/179,477 = 179,477/x
  3. Step 3: Cross multiply
    85,817.50x = 179,477 × 179,477
  4. Step 4: Simplify right side
    85,817.50x = 32,211,993,529
  5. Step 5: Solve for x
    x = 32,211,993,529/85,817.50
  6. Step 6: Final answer
    x = 375,354.60

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.