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Finding the Third Proportional to 619,334 and 905,103

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Solution

The third proportional to 619,334 and 905,103 is: 1,322,729.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,334 : 905,103 = 905,103 : x
  2. Step 2: Convert to fraction form
    619,334/905,103 = 905,103/x
  3. Step 3: Cross multiply
    619,334x = 905,103 × 905,103
  4. Step 4: Simplify right side
    619,334x = 819,211,440,609
  5. Step 5: Solve for x
    x = 819,211,440,609/619,334
  6. Step 6: Final answer
    x = 1,322,729.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.