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Finding the Third Proportional to 277,493 and 415,108

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Solution

The third proportional to 277,493 and 415,108 is: 620,969.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,493 : 415,108 = 415,108 : x
  2. Step 2: Convert to fraction form
    277,493/415,108 = 415,108/x
  3. Step 3: Cross multiply
    277,493x = 415,108 × 415,108
  4. Step 4: Simplify right side
    277,493x = 172,314,651,664
  5. Step 5: Solve for x
    x = 172,314,651,664/277,493
  6. Step 6: Final answer
    x = 620,969.36

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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.