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Finding the Third Proportional to 176,400 and 266,238

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Solution

The third proportional to 176,400 and 266,238 is: 401,829.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,400 : 266,238 = 266,238 : x
  2. Step 2: Convert to fraction form
    176,400/266,238 = 266,238/x
  3. Step 3: Cross multiply
    176,400x = 266,238 × 266,238
  4. Step 4: Simplify right side
    176,400x = 70,882,672,644
  5. Step 5: Solve for x
    x = 70,882,672,644/176,400
  6. Step 6: Final answer
    x = 401,829.21

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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.