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Finding the Third Proportional to 420,238 and 628,872

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Solution

The third proportional to 420,238 and 628,872 is: 941,085.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,238 : 628,872 = 628,872 : x
  2. Step 2: Convert to fraction form
    420,238/628,872 = 628,872/x
  3. Step 3: Cross multiply
    420,238x = 628,872 × 628,872
  4. Step 4: Simplify right side
    420,238x = 395,479,992,384
  5. Step 5: Solve for x
    x = 395,479,992,384/420,238
  6. Step 6: Final answer
    x = 941,085.75

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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.