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Finding the Third Proportional to 376,478 and 734,040

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Solution

The third proportional to 376,478 and 734,040 is: 1,431,198.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,478 : 734,040 = 734,040 : x
  2. Step 2: Convert to fraction form
    376,478/734,040 = 734,040/x
  3. Step 3: Cross multiply
    376,478x = 734,040 × 734,040
  4. Step 4: Simplify right side
    376,478x = 538,814,721,600
  5. Step 5: Solve for x
    x = 538,814,721,600/376,478
  6. Step 6: Final answer
    x = 1,431,198.43

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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.