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Finding the Third Proportional to 203,398 and 300,943

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Solution

The third proportional to 203,398 and 300,943 is: 445,268.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,398 : 300,943 = 300,943 : x
  2. Step 2: Convert to fraction form
    203,398/300,943 = 300,943/x
  3. Step 3: Cross multiply
    203,398x = 300,943 × 300,943
  4. Step 4: Simplify right side
    203,398x = 90,566,689,249
  5. Step 5: Solve for x
    x = 90,566,689,249/203,398
  6. Step 6: Final answer
    x = 445,268.34

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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.