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Finding the Third Proportional to 260,259 and 382,188

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Solution

The third proportional to 260,259 and 382,188 is: 561,239.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,259 : 382,188 = 382,188 : x
  2. Step 2: Convert to fraction form
    260,259/382,188 = 382,188/x
  3. Step 3: Cross multiply
    260,259x = 382,188 × 382,188
  4. Step 4: Simplify right side
    260,259x = 146,067,667,344
  5. Step 5: Solve for x
    x = 146,067,667,344/260,259
  6. Step 6: Final answer
    x = 561,239.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.