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Finding the Third Proportional to 445,872 and 698,400

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Solution

The third proportional to 445,872 and 698,400 is: 1,093,951.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,872 : 698,400 = 698,400 : x
  2. Step 2: Convert to fraction form
    445,872/698,400 = 698,400/x
  3. Step 3: Cross multiply
    445,872x = 698,400 × 698,400
  4. Step 4: Simplify right side
    445,872x = 487,762,560,000
  5. Step 5: Solve for x
    x = 487,762,560,000/445,872
  6. Step 6: Final answer
    x = 1,093,951.99

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.