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Finding the Third Proportional to 306,957 and 628,671

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Solution

The third proportional to 306,957 and 628,671 is: 1,287,565.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,957 : 628,671 = 628,671 : x
  2. Step 2: Convert to fraction form
    306,957/628,671 = 628,671/x
  3. Step 3: Cross multiply
    306,957x = 628,671 × 628,671
  4. Step 4: Simplify right side
    306,957x = 395,227,226,241
  5. Step 5: Solve for x
    x = 395,227,226,241/306,957
  6. Step 6: Final answer
    x = 1,287,565.44

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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.