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Finding the Third Proportional to 178,150 and 266,361

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Solution

The third proportional to 178,150 and 266,361 is: 398,249.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,150 : 266,361 = 266,361 : x
  2. Step 2: Convert to fraction form
    178,150/266,361 = 266,361/x
  3. Step 3: Cross multiply
    178,150x = 266,361 × 266,361
  4. Step 4: Simplify right side
    178,150x = 70,948,182,321
  5. Step 5: Solve for x
    x = 70,948,182,321/178,150
  6. Step 6: Final answer
    x = 398,249.69

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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.