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Finding the Third Proportional to 262,536 and 388,266

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Solution

The third proportional to 262,536 and 388,266 is: 574,208.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,536 : 388,266 = 388,266 : x
  2. Step 2: Convert to fraction form
    262,536/388,266 = 388,266/x
  3. Step 3: Cross multiply
    262,536x = 388,266 × 388,266
  4. Step 4: Simplify right side
    262,536x = 150,750,486,756
  5. Step 5: Solve for x
    x = 150,750,486,756/262,536
  6. Step 6: Final answer
    x = 574,208.82

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.