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Finding the Third Proportional to 277,792 and 422,680

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Solution

The third proportional to 277,792 and 422,680 is: 643,137.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,792 : 422,680 = 422,680 : x
  2. Step 2: Convert to fraction form
    277,792/422,680 = 422,680/x
  3. Step 3: Cross multiply
    277,792x = 422,680 × 422,680
  4. Step 4: Simplify right side
    277,792x = 178,658,382,400
  5. Step 5: Solve for x
    x = 178,658,382,400/277,792
  6. Step 6: Final answer
    x = 643,137.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.