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Finding the Third Proportional to 179,480 and 277,874

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Solution

The third proportional to 179,480 and 277,874 is: 430,209.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,480 : 277,874 = 277,874 : x
  2. Step 2: Convert to fraction form
    179,480/277,874 = 277,874/x
  3. Step 3: Cross multiply
    179,480x = 277,874 × 277,874
  4. Step 4: Simplify right side
    179,480x = 77,213,959,876
  5. Step 5: Solve for x
    x = 77,213,959,876/179,480
  6. Step 6: Final answer
    x = 430,209.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.