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Finding the Third Proportional to 420,304 and 628,971

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Solution

The third proportional to 420,304 and 628,971 is: 941,234.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,304 : 628,971 = 628,971 : x
  2. Step 2: Convert to fraction form
    420,304/628,971 = 628,971/x
  3. Step 3: Cross multiply
    420,304x = 628,971 × 628,971
  4. Step 4: Simplify right side
    420,304x = 395,604,518,841
  5. Step 5: Solve for x
    x = 395,604,518,841/420,304
  6. Step 6: Final answer
    x = 941,234.25

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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.