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Finding the Third Proportional to 418,064 and 628,048

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Solution

The third proportional to 418,064 and 628,048 is: 943,502.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,064 : 628,048 = 628,048 : x
  2. Step 2: Convert to fraction form
    418,064/628,048 = 628,048/x
  3. Step 3: Cross multiply
    418,064x = 628,048 × 628,048
  4. Step 4: Simplify right side
    418,064x = 394,444,290,304
  5. Step 5: Solve for x
    x = 394,444,290,304/418,064
  6. Step 6: Final answer
    x = 943,502.17

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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.