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Finding the Third Proportional to 309,876 and 664,950

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Solution

The third proportional to 309,876 and 664,950 is: 1,426,888.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,876 : 664,950 = 664,950 : x
  2. Step 2: Convert to fraction form
    309,876/664,950 = 664,950/x
  3. Step 3: Cross multiply
    309,876x = 664,950 × 664,950
  4. Step 4: Simplify right side
    309,876x = 442,158,502,500
  5. Step 5: Solve for x
    x = 442,158,502,500/309,876
  6. Step 6: Final answer
    x = 1,426,888.51

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.