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Finding the Third Proportional to 258,615 and 388,271

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Solution

The third proportional to 258,615 and 388,271 is: 582,929.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,615 : 388,271 = 388,271 : x
  2. Step 2: Convert to fraction form
    258,615/388,271 = 388,271/x
  3. Step 3: Cross multiply
    258,615x = 388,271 × 388,271
  4. Step 4: Simplify right side
    258,615x = 150,754,369,441
  5. Step 5: Solve for x
    x = 150,754,369,441/258,615
  6. Step 6: Final answer
    x = 582,929.72

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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.