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Finding the Third Proportional to 408,640 and 613,518

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Solution

The third proportional to 408,640 and 613,518 is: 921,114.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,640 : 613,518 = 613,518 : x
  2. Step 2: Convert to fraction form
    408,640/613,518 = 613,518/x
  3. Step 3: Cross multiply
    408,640x = 613,518 × 613,518
  4. Step 4: Simplify right side
    408,640x = 376,404,336,324
  5. Step 5: Solve for x
    x = 376,404,336,324/408,640
  6. Step 6: Final answer
    x = 921,114.76

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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.