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Finding the Third Proportional to 200,940.75 and 285,621.19

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Solution

The third proportional to 200,940.75 and 285,621.19 is: 405,987.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,940.75 : 285,621.19 = 285,621.19 : x
  2. Step 2: Convert to fraction form
    200,940.75/285,621.19 = 285,621.19/x
  3. Step 3: Cross multiply
    200,940.75x = 285,621.19 × 285,621.19
  4. Step 4: Simplify right side
    200,940.75x = 81,579,462,748.91
  5. Step 5: Solve for x
    x = 81,579,462,748.91/200,940.75
  6. Step 6: Final answer
    x = 405,987.65

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.