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Finding the Third Proportional to 306,981 and 628,717

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Solution

The third proportional to 306,981 and 628,717 is: 1,287,653.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,981 : 628,717 = 628,717 : x
  2. Step 2: Convert to fraction form
    306,981/628,717 = 628,717/x
  3. Step 3: Cross multiply
    306,981x = 628,717 × 628,717
  4. Step 4: Simplify right side
    306,981x = 395,285,066,089
  5. Step 5: Solve for x
    x = 395,285,066,089/306,981
  6. Step 6: Final answer
    x = 1,287,653.20

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.