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Finding the Third Proportional to 179,261 and 393,514

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Solution

The third proportional to 179,261 and 393,514 is: 863,842.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,261 : 393,514 = 393,514 : x
  2. Step 2: Convert to fraction form
    179,261/393,514 = 393,514/x
  3. Step 3: Cross multiply
    179,261x = 393,514 × 393,514
  4. Step 4: Simplify right side
    179,261x = 154,853,268,196
  5. Step 5: Solve for x
    x = 154,853,268,196/179,261
  6. Step 6: Final answer
    x = 863,842.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.