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Finding the Third Proportional to 431,104 and 661,722

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Solution

The third proportional to 431,104 and 661,722 is: 1,015,708.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,104 : 661,722 = 661,722 : x
  2. Step 2: Convert to fraction form
    431,104/661,722 = 661,722/x
  3. Step 3: Cross multiply
    431,104x = 661,722 × 661,722
  4. Step 4: Simplify right side
    431,104x = 437,876,005,284
  5. Step 5: Solve for x
    x = 437,876,005,284/431,104
  6. Step 6: Final answer
    x = 1,015,708.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.