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Finding the Third Proportional to 198,682 and 298,461

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Solution

The third proportional to 198,682 and 298,461 is: 448,349.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,682 : 298,461 = 298,461 : x
  2. Step 2: Convert to fraction form
    198,682/298,461 = 298,461/x
  3. Step 3: Cross multiply
    198,682x = 298,461 × 298,461
  4. Step 4: Simplify right side
    198,682x = 89,078,968,521
  5. Step 5: Solve for x
    x = 89,078,968,521/198,682
  6. Step 6: Final answer
    x = 448,349.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.