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Finding the Third Proportional to 277,569 and 415,238

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Solution

The third proportional to 277,569 and 415,238 is: 621,188.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,569 : 415,238 = 415,238 : x
  2. Step 2: Convert to fraction form
    277,569/415,238 = 415,238/x
  3. Step 3: Cross multiply
    277,569x = 415,238 × 415,238
  4. Step 4: Simplify right side
    277,569x = 172,422,596,644
  5. Step 5: Solve for x
    x = 172,422,596,644/277,569
  6. Step 6: Final answer
    x = 621,188.23

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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.