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Finding the Third Proportional to 213,708 and 303,762

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Solution

The third proportional to 213,708 and 303,762 is: 431,763.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,708 : 303,762 = 303,762 : x
  2. Step 2: Convert to fraction form
    213,708/303,762 = 303,762/x
  3. Step 3: Cross multiply
    213,708x = 303,762 × 303,762
  4. Step 4: Simplify right side
    213,708x = 92,271,352,644
  5. Step 5: Solve for x
    x = 92,271,352,644/213,708
  6. Step 6: Final answer
    x = 431,763.68

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.