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Finding the Third Proportional to 178,328 and 277,016

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Solution

The third proportional to 178,328 and 277,016 is: 430,318.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,328 : 277,016 = 277,016 : x
  2. Step 2: Convert to fraction form
    178,328/277,016 = 277,016/x
  3. Step 3: Cross multiply
    178,328x = 277,016 × 277,016
  4. Step 4: Simplify right side
    178,328x = 76,737,864,256
  5. Step 5: Solve for x
    x = 76,737,864,256/178,328
  6. Step 6: Final answer
    x = 430,318.65

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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.