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Finding the Third Proportional to 93,847.50 and 204,219

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Solution

The third proportional to 93,847.50 and 204,219 is: 444,395.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,847.50 : 204,219 = 204,219 : x
  2. Step 2: Convert to fraction form
    93,847.50/204,219 = 204,219/x
  3. Step 3: Cross multiply
    93,847.50x = 204,219 × 204,219
  4. Step 4: Simplify right side
    93,847.50x = 41,705,399,961
  5. Step 5: Solve for x
    x = 41,705,399,961/93,847.50
  6. Step 6: Final answer
    x = 444,395.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.