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Finding the Third Proportional to 176,828 and 270,407

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Solution

The third proportional to 176,828 and 270,407 is: 413,508.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,828 : 270,407 = 270,407 : x
  2. Step 2: Convert to fraction form
    176,828/270,407 = 270,407/x
  3. Step 3: Cross multiply
    176,828x = 270,407 × 270,407
  4. Step 4: Simplify right side
    176,828x = 73,119,945,649
  5. Step 5: Solve for x
    x = 73,119,945,649/176,828
  6. Step 6: Final answer
    x = 413,508.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.