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Finding the Third Proportional to 420,302 and 628,968

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Solution

The third proportional to 420,302 and 628,968 is: 941,229.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,302 : 628,968 = 628,968 : x
  2. Step 2: Convert to fraction form
    420,302/628,968 = 628,968/x
  3. Step 3: Cross multiply
    420,302x = 628,968 × 628,968
  4. Step 4: Simplify right side
    420,302x = 395,600,745,024
  5. Step 5: Solve for x
    x = 395,600,745,024/420,302
  6. Step 6: Final answer
    x = 941,229.75

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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.