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Finding the Third Proportional to 178,756 and 277,944

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Solution

The third proportional to 178,756 and 277,944 is: 432,169.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,756 : 277,944 = 277,944 : x
  2. Step 2: Convert to fraction form
    178,756/277,944 = 277,944/x
  3. Step 3: Cross multiply
    178,756x = 277,944 × 277,944
  4. Step 4: Simplify right side
    178,756x = 77,252,867,136
  5. Step 5: Solve for x
    x = 77,252,867,136/178,756
  6. Step 6: Final answer
    x = 432,169.37

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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.