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Finding the Third Proportional to 431,728 and 670,200

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Solution

The third proportional to 431,728 and 670,200 is: 1,040,395.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,728 : 670,200 = 670,200 : x
  2. Step 2: Convert to fraction form
    431,728/670,200 = 670,200/x
  3. Step 3: Cross multiply
    431,728x = 670,200 × 670,200
  4. Step 4: Simplify right side
    431,728x = 449,168,040,000
  5. Step 5: Solve for x
    x = 449,168,040,000/431,728
  6. Step 6: Final answer
    x = 1,040,395.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.