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Finding the Third Proportional to 277,696 and 415,350

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Solution

The third proportional to 277,696 and 415,350 is: 621,239.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,696 : 415,350 = 415,350 : x
  2. Step 2: Convert to fraction form
    277,696/415,350 = 415,350/x
  3. Step 3: Cross multiply
    277,696x = 415,350 × 415,350
  4. Step 4: Simplify right side
    277,696x = 172,515,622,500
  5. Step 5: Solve for x
    x = 172,515,622,500/277,696
  6. Step 6: Final answer
    x = 621,239.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.