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Finding the Third Proportional to 263,490 and 394,514

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Solution

The third proportional to 263,490 and 394,514 is: 590,691.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,490 : 394,514 = 394,514 : x
  2. Step 2: Convert to fraction form
    263,490/394,514 = 394,514/x
  3. Step 3: Cross multiply
    263,490x = 394,514 × 394,514
  4. Step 4: Simplify right side
    263,490x = 155,641,296,196
  5. Step 5: Solve for x
    x = 155,641,296,196/263,490
  6. Step 6: Final answer
    x = 590,691.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.