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Finding the Third Proportional to 258,617 and 388,274

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Solution

The third proportional to 258,617 and 388,274 is: 582,934.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,617 : 388,274 = 388,274 : x
  2. Step 2: Convert to fraction form
    258,617/388,274 = 388,274/x
  3. Step 3: Cross multiply
    258,617x = 388,274 × 388,274
  4. Step 4: Simplify right side
    258,617x = 150,756,699,076
  5. Step 5: Solve for x
    x = 150,756,699,076/258,617
  6. Step 6: Final answer
    x = 582,934.22

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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.