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Finding the Third Proportional to 420,140 and 628,743

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Solution

The third proportional to 420,140 and 628,743 is: 940,919.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,140 : 628,743 = 628,743 : x
  2. Step 2: Convert to fraction form
    420,140/628,743 = 628,743/x
  3. Step 3: Cross multiply
    420,140x = 628,743 × 628,743
  4. Step 4: Simplify right side
    420,140x = 395,317,760,049
  5. Step 5: Solve for x
    x = 395,317,760,049/420,140
  6. Step 6: Final answer
    x = 940,919.12

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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.