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Finding the Third Proportional to 206,172.50 and 439,345

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Solution

The third proportional to 206,172.50 and 439,345 is: 936,225.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,172.50 : 439,345 = 439,345 : x
  2. Step 2: Convert to fraction form
    206,172.50/439,345 = 439,345/x
  3. Step 3: Cross multiply
    206,172.50x = 439,345 × 439,345
  4. Step 4: Simplify right side
    206,172.50x = 193,024,029,025
  5. Step 5: Solve for x
    x = 193,024,029,025/206,172.50
  6. Step 6: Final answer
    x = 936,225.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.