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Finding the Third Proportional to 277,749 and 415,926

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Solution

The third proportional to 277,749 and 415,926 is: 622,844.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,749 : 415,926 = 415,926 : x
  2. Step 2: Convert to fraction form
    277,749/415,926 = 415,926/x
  3. Step 3: Cross multiply
    277,749x = 415,926 × 415,926
  4. Step 4: Simplify right side
    277,749x = 172,994,437,476
  5. Step 5: Solve for x
    x = 172,994,437,476/277,749
  6. Step 6: Final answer
    x = 622,844.50

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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.