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Finding the Third Proportional to 203,888 and 479,707

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Solution

The third proportional to 203,888 and 479,707 is: 1,128,653.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,888 : 479,707 = 479,707 : x
  2. Step 2: Convert to fraction form
    203,888/479,707 = 479,707/x
  3. Step 3: Cross multiply
    203,888x = 479,707 × 479,707
  4. Step 4: Simplify right side
    203,888x = 230,118,805,849
  5. Step 5: Solve for x
    x = 230,118,805,849/203,888
  6. Step 6: Final answer
    x = 1,128,653.01

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.