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Finding the Third Proportional to 734,400 and 1,122,720

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Solution

The third proportional to 734,400 and 1,122,720 is: 1,716,367.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,400 : 1,122,720 = 1,122,720 : x
  2. Step 2: Convert to fraction form
    734,400/1,122,720 = 1,122,720/x
  3. Step 3: Cross multiply
    734,400x = 1,122,720 × 1,122,720
  4. Step 4: Simplify right side
    734,400x = 1,260,500,198,400
  5. Step 5: Solve for x
    x = 1,260,500,198,400/734,400
  6. Step 6: Final answer
    x = 1,716,367.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.