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Finding the Third Proportional to 299,484 and 398,682

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Solution

The third proportional to 299,484 and 398,682 is: 530,737.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,484 : 398,682 = 398,682 : x
  2. Step 2: Convert to fraction form
    299,484/398,682 = 398,682/x
  3. Step 3: Cross multiply
    299,484x = 398,682 × 398,682
  4. Step 4: Simplify right side
    299,484x = 158,947,337,124
  5. Step 5: Solve for x
    x = 158,947,337,124/299,484
  6. Step 6: Final answer
    x = 530,737.33

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.