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Finding the Third Proportional to 420,290 and 628,950

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Solution

The third proportional to 420,290 and 628,950 is: 941,202.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,290 : 628,950 = 628,950 : x
  2. Step 2: Convert to fraction form
    420,290/628,950 = 628,950/x
  3. Step 3: Cross multiply
    420,290x = 628,950 × 628,950
  4. Step 4: Simplify right side
    420,290x = 395,578,102,500
  5. Step 5: Solve for x
    x = 395,578,102,500/420,290
  6. Step 6: Final answer
    x = 941,202.75

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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.