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Finding the Third Proportional to 277,550 and 654,977

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Solution

The third proportional to 277,550 and 654,977 is: 1,545,648.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,550 : 654,977 = 654,977 : x
  2. Step 2: Convert to fraction form
    277,550/654,977 = 654,977/x
  3. Step 3: Cross multiply
    277,550x = 654,977 × 654,977
  4. Step 4: Simplify right side
    277,550x = 428,994,870,529
  5. Step 5: Solve for x
    x = 428,994,870,529/277,550
  6. Step 6: Final answer
    x = 1,545,648.97

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.