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Finding the Third Proportional to 418,496 and 628,680

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Solution

The third proportional to 418,496 and 628,680 is: 944,426.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,496 : 628,680 = 628,680 : x
  2. Step 2: Convert to fraction form
    418,496/628,680 = 628,680/x
  3. Step 3: Cross multiply
    418,496x = 628,680 × 628,680
  4. Step 4: Simplify right side
    418,496x = 395,238,542,400
  5. Step 5: Solve for x
    x = 395,238,542,400/418,496
  6. Step 6: Final answer
    x = 944,426.09

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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.