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Finding the Third Proportional to 178,192 and 266,412

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Solution

The third proportional to 178,192 and 266,412 is: 398,308.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,192 : 266,412 = 266,412 : x
  2. Step 2: Convert to fraction form
    178,192/266,412 = 266,412/x
  3. Step 3: Cross multiply
    178,192x = 266,412 × 266,412
  4. Step 4: Simplify right side
    178,192x = 70,975,353,744
  5. Step 5: Solve for x
    x = 70,975,353,744/178,192
  6. Step 6: Final answer
    x = 398,308.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.