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Finding the Third Proportional to 260,085 and 558,969

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Solution

The third proportional to 260,085 and 558,969 is: 1,201,323.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,085 : 558,969 = 558,969 : x
  2. Step 2: Convert to fraction form
    260,085/558,969 = 558,969/x
  3. Step 3: Cross multiply
    260,085x = 558,969 × 558,969
  4. Step 4: Simplify right side
    260,085x = 312,446,342,961
  5. Step 5: Solve for x
    x = 312,446,342,961/260,085
  6. Step 6: Final answer
    x = 1,201,323.96

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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.