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Finding the Third Proportional to 277,419 and 419,045

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Solution

The third proportional to 277,419 and 419,045 is: 632,972.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,419 : 419,045 = 419,045 : x
  2. Step 2: Convert to fraction form
    277,419/419,045 = 419,045/x
  3. Step 3: Cross multiply
    277,419x = 419,045 × 419,045
  4. Step 4: Simplify right side
    277,419x = 175,598,712,025
  5. Step 5: Solve for x
    x = 175,598,712,025/277,419
  6. Step 6: Final answer
    x = 632,972.91

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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.