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Finding the Third Proportional to 203,742 and 438,723

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Solution

The third proportional to 203,742 and 438,723 is: 944,713.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,742 : 438,723 = 438,723 : x
  2. Step 2: Convert to fraction form
    203,742/438,723 = 438,723/x
  3. Step 3: Cross multiply
    203,742x = 438,723 × 438,723
  4. Step 4: Simplify right side
    203,742x = 192,477,870,729
  5. Step 5: Solve for x
    x = 192,477,870,729/203,742
  6. Step 6: Final answer
    x = 944,713.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.