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Finding the Third Proportional to 420,288 and 628,947

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Solution

The third proportional to 420,288 and 628,947 is: 941,198.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,288 : 628,947 = 628,947 : x
  2. Step 2: Convert to fraction form
    420,288/628,947 = 628,947/x
  3. Step 3: Cross multiply
    420,288x = 628,947 × 628,947
  4. Step 4: Simplify right side
    420,288x = 395,574,328,809
  5. Step 5: Solve for x
    x = 395,574,328,809/420,288
  6. Step 6: Final answer
    x = 941,198.25

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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.