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Finding the Third Proportional to 420,286 and 628,944

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Solution

The third proportional to 420,286 and 628,944 is: 941,193.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,286 : 628,944 = 628,944 : x
  2. Step 2: Convert to fraction form
    420,286/628,944 = 628,944/x
  3. Step 3: Cross multiply
    420,286x = 628,944 × 628,944
  4. Step 4: Simplify right side
    420,286x = 395,570,555,136
  5. Step 5: Solve for x
    x = 395,570,555,136/420,286
  6. Step 6: Final answer
    x = 941,193.75

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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.