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Finding the Third Proportional to 277,453 and 415,420

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Solution

The third proportional to 277,453 and 415,420 is: 621,992.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,453 : 415,420 = 415,420 : x
  2. Step 2: Convert to fraction form
    277,453/415,420 = 415,420/x
  3. Step 3: Cross multiply
    277,453x = 415,420 × 415,420
  4. Step 4: Simplify right side
    277,453x = 172,573,776,400
  5. Step 5: Solve for x
    x = 172,573,776,400/277,453
  6. Step 6: Final answer
    x = 621,992.83

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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.