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Finding the Third Proportional to 421,103.81 and 905,257.69

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Solution

The third proportional to 421,103.81 and 905,257.69 is: 1,946,055.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,103.81 : 905,257.69 = 905,257.69 : x
  2. Step 2: Convert to fraction form
    421,103.81/905,257.69 = 905,257.69/x
  3. Step 3: Cross multiply
    421,103.81x = 905,257.69 × 905,257.69
  4. Step 4: Simplify right side
    421,103.81x = 819,491,480,777.85
  5. Step 5: Solve for x
    x = 819,491,480,777.85/421,103.81
  6. Step 6: Final answer
    x = 1,946,055.71

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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.