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Finding the Third Proportional to 178,424 and 269,148

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Solution

The third proportional to 178,424 and 269,148 is: 406,002.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,424 : 269,148 = 269,148 : x
  2. Step 2: Convert to fraction form
    178,424/269,148 = 269,148/x
  3. Step 3: Cross multiply
    178,424x = 269,148 × 269,148
  4. Step 4: Simplify right side
    178,424x = 72,440,645,904
  5. Step 5: Solve for x
    x = 72,440,645,904/178,424
  6. Step 6: Final answer
    x = 406,002.81

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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.