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Finding the Third Proportional to 400,568 and 618,514

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Solution

The third proportional to 400,568 and 618,514 is: 955,042.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,568 : 618,514 = 618,514 : x
  2. Step 2: Convert to fraction form
    400,568/618,514 = 618,514/x
  3. Step 3: Cross multiply
    400,568x = 618,514 × 618,514
  4. Step 4: Simplify right side
    400,568x = 382,559,568,196
  5. Step 5: Solve for x
    x = 382,559,568,196/400,568
  6. Step 6: Final answer
    x = 955,042.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.