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Finding the Third Proportional to 422,702 and 618,502

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Solution

The third proportional to 422,702 and 618,502 is: 904,998.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,702 : 618,502 = 618,502 : x
  2. Step 2: Convert to fraction form
    422,702/618,502 = 618,502/x
  3. Step 3: Cross multiply
    422,702x = 618,502 × 618,502
  4. Step 4: Simplify right side
    422,702x = 382,544,724,004
  5. Step 5: Solve for x
    x = 382,544,724,004/422,702
  6. Step 6: Final answer
    x = 904,998.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.