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Finding the Third Proportional to 402,687 and 603,999

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Solution

The third proportional to 402,687 and 603,999 is: 905,951.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,687 : 603,999 = 603,999 : x
  2. Step 2: Convert to fraction form
    402,687/603,999 = 603,999/x
  3. Step 3: Cross multiply
    402,687x = 603,999 × 603,999
  4. Step 4: Simplify right side
    402,687x = 364,814,792,001
  5. Step 5: Solve for x
    x = 364,814,792,001/402,687
  6. Step 6: Final answer
    x = 905,951.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.