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Finding the Third Proportional to 277,722 and 420,474

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Solution

The third proportional to 277,722 and 420,474 is: 636,602.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,722 : 420,474 = 420,474 : x
  2. Step 2: Convert to fraction form
    277,722/420,474 = 420,474/x
  3. Step 3: Cross multiply
    277,722x = 420,474 × 420,474
  4. Step 4: Simplify right side
    277,722x = 176,798,384,676
  5. Step 5: Solve for x
    x = 176,798,384,676/277,722
  6. Step 6: Final answer
    x = 636,602.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.