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Finding the Third Proportional to 180,985 and 397,509

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Solution

The third proportional to 180,985 and 397,509 is: 873,074.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,985 : 397,509 = 397,509 : x
  2. Step 2: Convert to fraction form
    180,985/397,509 = 397,509/x
  3. Step 3: Cross multiply
    180,985x = 397,509 × 397,509
  4. Step 4: Simplify right side
    180,985x = 158,013,405,081
  5. Step 5: Solve for x
    x = 158,013,405,081/180,985
  6. Step 6: Final answer
    x = 873,074.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.