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Finding the Third Proportional to 77,104 and 178,485

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Solution

The third proportional to 77,104 and 178,485 is: 413,167.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,104 : 178,485 = 178,485 : x
  2. Step 2: Convert to fraction form
    77,104/178,485 = 178,485/x
  3. Step 3: Cross multiply
    77,104x = 178,485 × 178,485
  4. Step 4: Simplify right side
    77,104x = 31,856,895,225
  5. Step 5: Solve for x
    x = 31,856,895,225/77,104
  6. Step 6: Final answer
    x = 413,167.87

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.