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Finding the Third Proportional to 408,483 and 629,943.75

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Solution

The third proportional to 408,483 and 629,943.75 is: 971,470.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,483 : 629,943.75 = 629,943.75 : x
  2. Step 2: Convert to fraction form
    408,483/629,943.75 = 629,943.75/x
  3. Step 3: Cross multiply
    408,483x = 629,943.75 × 629,943.75
  4. Step 4: Simplify right side
    408,483x = 396,829,128,164.06
  5. Step 5: Solve for x
    x = 396,829,128,164.06/408,483
  6. Step 6: Final answer
    x = 971,470.36

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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.