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Finding the Third Proportional to 277,492 and 415,107

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Solution

The third proportional to 277,492 and 415,107 is: 620,968.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,492 : 415,107 = 415,107 : x
  2. Step 2: Convert to fraction form
    277,492/415,107 = 415,107/x
  3. Step 3: Cross multiply
    277,492x = 415,107 × 415,107
  4. Step 4: Simplify right side
    277,492x = 172,313,821,449
  5. Step 5: Solve for x
    x = 172,313,821,449/277,492
  6. Step 6: Final answer
    x = 620,968.61

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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.