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Finding the Third Proportional to 280,744 and 431,958

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Solution

The third proportional to 280,744 and 431,958 is: 664,618.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,744 : 431,958 = 431,958 : x
  2. Step 2: Convert to fraction form
    280,744/431,958 = 431,958/x
  3. Step 3: Cross multiply
    280,744x = 431,958 × 431,958
  4. Step 4: Simplify right side
    280,744x = 186,587,713,764
  5. Step 5: Solve for x
    x = 186,587,713,764/280,744
  6. Step 6: Final answer
    x = 664,618.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.