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Finding the Third Proportional to 234,576 and 388,257

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Solution

The third proportional to 234,576 and 388,257 is: 642,621.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,576 : 388,257 = 388,257 : x
  2. Step 2: Convert to fraction form
    234,576/388,257 = 388,257/x
  3. Step 3: Cross multiply
    234,576x = 388,257 × 388,257
  4. Step 4: Simplify right side
    234,576x = 150,743,498,049
  5. Step 5: Solve for x
    x = 150,743,498,049/234,576
  6. Step 6: Final answer
    x = 642,621.15

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.