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Finding the Third Proportional to 445,790.25 and 869,253.50

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Solution

The third proportional to 445,790.25 and 869,253.50 is: 1,694,971.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,790.25 : 869,253.50 = 869,253.50 : x
  2. Step 2: Convert to fraction form
    445,790.25/869,253.50 = 869,253.50/x
  3. Step 3: Cross multiply
    445,790.25x = 869,253.50 × 869,253.50
  4. Step 4: Simplify right side
    445,790.25x = 755,601,647,262.25
  5. Step 5: Solve for x
    x = 755,601,647,262.25/445,790.25
  6. Step 6: Final answer
    x = 1,694,971.23

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.