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Finding the Third Proportional to 260,069 and 389,050

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Solution

The third proportional to 260,069 and 389,050 is: 581,999.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,069 : 389,050 = 389,050 : x
  2. Step 2: Convert to fraction form
    260,069/389,050 = 389,050/x
  3. Step 3: Cross multiply
    260,069x = 389,050 × 389,050
  4. Step 4: Simplify right side
    260,069x = 151,359,902,500
  5. Step 5: Solve for x
    x = 151,359,902,500/260,069
  6. Step 6: Final answer
    x = 581,999.02

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Why These Related Problems?

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