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Finding the Third Proportional to 320,238 and 689,958

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Solution

The third proportional to 320,238 and 689,958 is: 1,486,525.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,238 : 689,958 = 689,958 : x
  2. Step 2: Convert to fraction form
    320,238/689,958 = 689,958/x
  3. Step 3: Cross multiply
    320,238x = 689,958 × 689,958
  4. Step 4: Simplify right side
    320,238x = 476,042,041,764
  5. Step 5: Solve for x
    x = 476,042,041,764/320,238
  6. Step 6: Final answer
    x = 1,486,525.78

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Why These Related Problems?

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