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Finding the Third Proportional to 228,034 and 343,419

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Solution

The third proportional to 228,034 and 343,419 is: 517,188.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,034 : 343,419 = 343,419 : x
  2. Step 2: Convert to fraction form
    228,034/343,419 = 343,419/x
  3. Step 3: Cross multiply
    228,034x = 343,419 × 343,419
  4. Step 4: Simplify right side
    228,034x = 117,936,609,561
  5. Step 5: Solve for x
    x = 117,936,609,561/228,034
  6. Step 6: Final answer
    x = 517,188.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.