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Finding the Third Proportional to 177,621 and 380,514

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Solution

The third proportional to 177,621 and 380,514 is: 815,167.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,621 : 380,514 = 380,514 : x
  2. Step 2: Convert to fraction form
    177,621/380,514 = 380,514/x
  3. Step 3: Cross multiply
    177,621x = 380,514 × 380,514
  4. Step 4: Simplify right side
    177,621x = 144,790,904,196
  5. Step 5: Solve for x
    x = 144,790,904,196/177,621
  6. Step 6: Final answer
    x = 815,167.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.