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Finding the Third Proportional to 277,423 and 419,051

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Solution

The third proportional to 277,423 and 419,051 is: 632,981.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,423 : 419,051 = 419,051 : x
  2. Step 2: Convert to fraction form
    277,423/419,051 = 419,051/x
  3. Step 3: Cross multiply
    277,423x = 419,051 × 419,051
  4. Step 4: Simplify right side
    277,423x = 175,603,740,601
  5. Step 5: Solve for x
    x = 175,603,740,601/277,423
  6. Step 6: Final answer
    x = 632,981.91

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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.