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Finding the Third Proportional to 277,692 and 415,344

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Solution

The third proportional to 277,692 and 415,344 is: 621,230.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,692 : 415,344 = 415,344 : x
  2. Step 2: Convert to fraction form
    277,692/415,344 = 415,344/x
  3. Step 3: Cross multiply
    277,692x = 415,344 × 415,344
  4. Step 4: Simplify right side
    277,692x = 172,510,638,336
  5. Step 5: Solve for x
    x = 172,510,638,336/277,692
  6. Step 6: Final answer
    x = 621,230.13

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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.