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Finding the Third Proportional to 551,921.50 and 809,704.75

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Solution

The third proportional to 551,921.50 and 809,704.75 is: 1,187,889.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,921.50 : 809,704.75 = 809,704.75 : x
  2. Step 2: Convert to fraction form
    551,921.50/809,704.75 = 809,704.75/x
  3. Step 3: Cross multiply
    551,921.50x = 809,704.75 × 809,704.75
  4. Step 4: Simplify right side
    551,921.50x = 655,621,782,172.56
  5. Step 5: Solve for x
    x = 655,621,782,172.56/551,921.50
  6. Step 6: Final answer
    x = 1,187,889.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.