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Finding the Third Proportional to 178,326 and 277,012

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Solution

The third proportional to 178,326 and 277,012 is: 430,311.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,326 : 277,012 = 277,012 : x
  2. Step 2: Convert to fraction form
    178,326/277,012 = 277,012/x
  3. Step 3: Cross multiply
    178,326x = 277,012 × 277,012
  4. Step 4: Simplify right side
    178,326x = 76,735,648,144
  5. Step 5: Solve for x
    x = 76,735,648,144/178,326
  6. Step 6: Final answer
    x = 430,311.05

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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.