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Finding the Third Proportional to 280,738 and 431,950

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Solution

The third proportional to 280,738 and 431,950 is: 664,608.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,738 : 431,950 = 431,950 : x
  2. Step 2: Convert to fraction form
    280,738/431,950 = 431,950/x
  3. Step 3: Cross multiply
    280,738x = 431,950 × 431,950
  4. Step 4: Simplify right side
    280,738x = 186,580,802,500
  5. Step 5: Solve for x
    x = 186,580,802,500/280,738
  6. Step 6: Final answer
    x = 664,608.29

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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.