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Finding the Third Proportional to 420,156 and 628,740

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Solution

The third proportional to 420,156 and 628,740 is: 940,874.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,156 : 628,740 = 628,740 : x
  2. Step 2: Convert to fraction form
    420,156/628,740 = 628,740/x
  3. Step 3: Cross multiply
    420,156x = 628,740 × 628,740
  4. Step 4: Simplify right side
    420,156x = 395,313,987,600
  5. Step 5: Solve for x
    x = 395,313,987,600/420,156
  6. Step 6: Final answer
    x = 940,874.31

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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.