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Finding the Third Proportional to 189,640 and 277,446

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Solution

The third proportional to 189,640 and 277,446 is: 405,907.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,640 : 277,446 = 277,446 : x
  2. Step 2: Convert to fraction form
    189,640/277,446 = 277,446/x
  3. Step 3: Cross multiply
    189,640x = 277,446 × 277,446
  4. Step 4: Simplify right side
    189,640x = 76,976,282,916
  5. Step 5: Solve for x
    x = 76,976,282,916/189,640
  6. Step 6: Final answer
    x = 405,907.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.