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Finding the Third Proportional to 227,350 and 339,620

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Solution

The third proportional to 227,350 and 339,620 is: 507,331.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,350 : 339,620 = 339,620 : x
  2. Step 2: Convert to fraction form
    227,350/339,620 = 339,620/x
  3. Step 3: Cross multiply
    227,350x = 339,620 × 339,620
  4. Step 4: Simplify right side
    227,350x = 115,341,744,400
  5. Step 5: Solve for x
    x = 115,341,744,400/227,350
  6. Step 6: Final answer
    x = 507,331.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.