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Finding the Third Proportional to 277,965 and 415,692

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Solution

The third proportional to 277,965 and 415,692 is: 621,660.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,965 : 415,692 = 415,692 : x
  2. Step 2: Convert to fraction form
    277,965/415,692 = 415,692/x
  3. Step 3: Cross multiply
    277,965x = 415,692 × 415,692
  4. Step 4: Simplify right side
    277,965x = 172,799,838,864
  5. Step 5: Solve for x
    x = 172,799,838,864/277,965
  6. Step 6: Final answer
    x = 621,660.42

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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.