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Finding the Third Proportional to 422,328 and 661,152

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Solution

The third proportional to 422,328 and 661,152 is: 1,035,029.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,328 : 661,152 = 661,152 : x
  2. Step 2: Convert to fraction form
    422,328/661,152 = 661,152/x
  3. Step 3: Cross multiply
    422,328x = 661,152 × 661,152
  4. Step 4: Simplify right side
    422,328x = 437,121,967,104
  5. Step 5: Solve for x
    x = 437,121,967,104/422,328
  6. Step 6: Final answer
    x = 1,035,029.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.