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Finding the Third Proportional to 225,975 and 309,861

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Solution

The third proportional to 225,975 and 309,861 is: 424,887.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,975 : 309,861 = 309,861 : x
  2. Step 2: Convert to fraction form
    225,975/309,861 = 309,861/x
  3. Step 3: Cross multiply
    225,975x = 309,861 × 309,861
  4. Step 4: Simplify right side
    225,975x = 96,013,839,321
  5. Step 5: Solve for x
    x = 96,013,839,321/225,975
  6. Step 6: Final answer
    x = 424,887.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.