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Finding the Third Proportional to 176,380 and 266,210

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Solution

The third proportional to 176,380 and 266,210 is: 401,790.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,380 : 266,210 = 266,210 : x
  2. Step 2: Convert to fraction form
    176,380/266,210 = 266,210/x
  3. Step 3: Cross multiply
    176,380x = 266,210 × 266,210
  4. Step 4: Simplify right side
    176,380x = 70,867,764,100
  5. Step 5: Solve for x
    x = 70,867,764,100/176,380
  6. Step 6: Final answer
    x = 401,790.25

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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.