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Finding the Third Proportional to 306,979 and 628,713

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Solution

The third proportional to 306,979 and 628,713 is: 1,287,645.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,979 : 628,713 = 628,713 : x
  2. Step 2: Convert to fraction form
    306,979/628,713 = 628,713/x
  3. Step 3: Cross multiply
    306,979x = 628,713 × 628,713
  4. Step 4: Simplify right side
    306,979x = 395,280,036,369
  5. Step 5: Solve for x
    x = 395,280,036,369/306,979
  6. Step 6: Final answer
    x = 1,287,645.20

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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.