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Finding the Third Proportional to 258,624 and 388,248

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Solution

The third proportional to 258,624 and 388,248 is: 582,840.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,624 : 388,248 = 388,248 : x
  2. Step 2: Convert to fraction form
    258,624/388,248 = 388,248/x
  3. Step 3: Cross multiply
    258,624x = 388,248 × 388,248
  4. Step 4: Simplify right side
    258,624x = 150,736,509,504
  5. Step 5: Solve for x
    x = 150,736,509,504/258,624
  6. Step 6: Final answer
    x = 582,840.38

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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.