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Finding the Third Proportional to 260,520 and 389,686

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Solution

The third proportional to 260,520 and 389,686 is: 582,892.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,520 : 389,686 = 389,686 : x
  2. Step 2: Convert to fraction form
    260,520/389,686 = 389,686/x
  3. Step 3: Cross multiply
    260,520x = 389,686 × 389,686
  4. Step 4: Simplify right side
    260,520x = 151,855,178,596
  5. Step 5: Solve for x
    x = 151,855,178,596/260,520
  6. Step 6: Final answer
    x = 582,892.59

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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.