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Finding the Third Proportional to 178,442 and 269,175

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Solution

The third proportional to 178,442 and 269,175 is: 406,043.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,442 : 269,175 = 269,175 : x
  2. Step 2: Convert to fraction form
    178,442/269,175 = 269,175/x
  3. Step 3: Cross multiply
    178,442x = 269,175 × 269,175
  4. Step 4: Simplify right side
    178,442x = 72,455,180,625
  5. Step 5: Solve for x
    x = 72,455,180,625/178,442
  6. Step 6: Final answer
    x = 406,043.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.