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Finding the Third Proportional to 76,176 and 178,020

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Solution

The third proportional to 76,176 and 178,020 is: 416,025

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,176 : 178,020 = 178,020 : x
  2. Step 2: Convert to fraction form
    76,176/178,020 = 178,020/x
  3. Step 3: Cross multiply
    76,176x = 178,020 × 178,020
  4. Step 4: Simplify right side
    76,176x = 31,691,120,400
  5. Step 5: Solve for x
    x = 31,691,120,400/76,176
  6. Step 6: Final answer
    x = 416,025

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.