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Finding the Third Proportional to 420,232 and 628,863

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Solution

The third proportional to 420,232 and 628,863 is: 941,072.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,232 : 628,863 = 628,863 : x
  2. Step 2: Convert to fraction form
    420,232/628,863 = 628,863/x
  3. Step 3: Cross multiply
    420,232x = 628,863 × 628,863
  4. Step 4: Simplify right side
    420,232x = 395,468,672,769
  5. Step 5: Solve for x
    x = 395,468,672,769/420,232
  6. Step 6: Final answer
    x = 941,072.25

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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.