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Finding the Third Proportional to 269,003 and 402,988

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Solution

The third proportional to 269,003 and 402,988 is: 603,708.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,003 : 402,988 = 402,988 : x
  2. Step 2: Convert to fraction form
    269,003/402,988 = 402,988/x
  3. Step 3: Cross multiply
    269,003x = 402,988 × 402,988
  4. Step 4: Simplify right side
    269,003x = 162,399,328,144
  5. Step 5: Solve for x
    x = 162,399,328,144/269,003
  6. Step 6: Final answer
    x = 603,708.24

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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.