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Finding the Third Proportional to 259,611 and 558,003

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Solution

The third proportional to 259,611 and 558,003 is: 1,199,361.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,611 : 558,003 = 558,003 : x
  2. Step 2: Convert to fraction form
    259,611/558,003 = 558,003/x
  3. Step 3: Cross multiply
    259,611x = 558,003 × 558,003
  4. Step 4: Simplify right side
    259,611x = 311,367,348,009
  5. Step 5: Solve for x
    x = 311,367,348,009/259,611
  6. Step 6: Final answer
    x = 1,199,361.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.