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Finding the Third Proportional to 203,431.88 and 445,617

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Solution

The third proportional to 203,431.88 and 445,617 is: 976,122.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,431.88 : 445,617 = 445,617 : x
  2. Step 2: Convert to fraction form
    203,431.88/445,617 = 445,617/x
  3. Step 3: Cross multiply
    203,431.88x = 445,617 × 445,617
  4. Step 4: Simplify right side
    203,431.88x = 198,574,510,689
  5. Step 5: Solve for x
    x = 198,574,510,689/203,431.88
  6. Step 6: Final answer
    x = 976,122.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.