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Finding the Third Proportional to 178,512 and 287,016

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Solution

The third proportional to 178,512 and 287,016 is: 461,471.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,512 : 287,016 = 287,016 : x
  2. Step 2: Convert to fraction form
    178,512/287,016 = 287,016/x
  3. Step 3: Cross multiply
    178,512x = 287,016 × 287,016
  4. Step 4: Simplify right side
    178,512x = 82,378,184,256
  5. Step 5: Solve for x
    x = 82,378,184,256/178,512
  6. Step 6: Final answer
    x = 461,471.41

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.