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Finding the Third Proportional to 178,173 and 378,209.25

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Solution

The third proportional to 178,173 and 378,209.25 is: 802,827.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,173 : 378,209.25 = 378,209.25 : x
  2. Step 2: Convert to fraction form
    178,173/378,209.25 = 378,209.25/x
  3. Step 3: Cross multiply
    178,173x = 378,209.25 × 378,209.25
  4. Step 4: Simplify right side
    178,173x = 143,042,236,785.56
  5. Step 5: Solve for x
    x = 143,042,236,785.56/178,173
  6. Step 6: Final answer
    x = 802,827.80

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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.