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Finding the Third Proportional to 420,150 and 628,758

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Solution

The third proportional to 420,150 and 628,758 is: 940,941.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,150 : 628,758 = 628,758 : x
  2. Step 2: Convert to fraction form
    420,150/628,758 = 628,758/x
  3. Step 3: Cross multiply
    420,150x = 628,758 × 628,758
  4. Step 4: Simplify right side
    420,150x = 395,336,622,564
  5. Step 5: Solve for x
    x = 395,336,622,564/420,150
  6. Step 6: Final answer
    x = 940,941.62

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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.