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Finding the Third Proportional to 178,176 and 378,216

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Solution

The third proportional to 178,176 and 378,216 is: 802,842.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,176 : 378,216 = 378,216 : x
  2. Step 2: Convert to fraction form
    178,176/378,216 = 378,216/x
  3. Step 3: Cross multiply
    178,176x = 378,216 × 378,216
  4. Step 4: Simplify right side
    178,176x = 143,047,342,656
  5. Step 5: Solve for x
    x = 143,047,342,656/178,176
  6. Step 6: Final answer
    x = 802,842.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.