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Finding the Third Proportional to 277,044 and 421,398

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Solution

The third proportional to 277,044 and 421,398 is: 640,967.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,044 : 421,398 = 421,398 : x
  2. Step 2: Convert to fraction form
    277,044/421,398 = 421,398/x
  3. Step 3: Cross multiply
    277,044x = 421,398 × 421,398
  4. Step 4: Simplify right side
    277,044x = 177,576,274,404
  5. Step 5: Solve for x
    x = 177,576,274,404/277,044
  6. Step 6: Final answer
    x = 640,967.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.