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Finding the Third Proportional to 339,060 and 414,876

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Solution

The third proportional to 339,060 and 414,876 is: 507,644.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,060 : 414,876 = 414,876 : x
  2. Step 2: Convert to fraction form
    339,060/414,876 = 414,876/x
  3. Step 3: Cross multiply
    339,060x = 414,876 × 414,876
  4. Step 4: Simplify right side
    339,060x = 172,122,095,376
  5. Step 5: Solve for x
    x = 172,122,095,376/339,060
  6. Step 6: Final answer
    x = 507,644.95

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.