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Finding the Third Proportional to 418,320 and 628,434

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Solution

The third proportional to 418,320 and 628,434 is: 944,084.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,320 : 628,434 = 628,434 : x
  2. Step 2: Convert to fraction form
    418,320/628,434 = 628,434/x
  3. Step 3: Cross multiply
    418,320x = 628,434 × 628,434
  4. Step 4: Simplify right side
    418,320x = 394,929,292,356
  5. Step 5: Solve for x
    x = 394,929,292,356/418,320
  6. Step 6: Final answer
    x = 944,084.18

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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.