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Finding the Third Proportional to 262,286 and 393,685

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Solution

The third proportional to 262,286 and 393,685 is: 590,911.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,286 : 393,685 = 393,685 : x
  2. Step 2: Convert to fraction form
    262,286/393,685 = 393,685/x
  3. Step 3: Cross multiply
    262,286x = 393,685 × 393,685
  4. Step 4: Simplify right side
    262,286x = 154,987,879,225
  5. Step 5: Solve for x
    x = 154,987,879,225/262,286
  6. Step 6: Final answer
    x = 590,911.75

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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.