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Finding the Third Proportional to 277,670 and 415,317

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Solution

The third proportional to 277,670 and 415,317 is: 621,198.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,670 : 415,317 = 415,317 : x
  2. Step 2: Convert to fraction form
    277,670/415,317 = 415,317/x
  3. Step 3: Cross multiply
    277,670x = 415,317 × 415,317
  4. Step 4: Simplify right side
    277,670x = 172,488,210,489
  5. Step 5: Solve for x
    x = 172,488,210,489/277,670
  6. Step 6: Final answer
    x = 621,198.58

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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.