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Finding the Third Proportional to 198,851 and 301,170

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Solution

The third proportional to 198,851 and 301,170 is: 456,137.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,851 : 301,170 = 301,170 : x
  2. Step 2: Convert to fraction form
    198,851/301,170 = 301,170/x
  3. Step 3: Cross multiply
    198,851x = 301,170 × 301,170
  4. Step 4: Simplify right side
    198,851x = 90,703,368,900
  5. Step 5: Solve for x
    x = 90,703,368,900/198,851
  6. Step 6: Final answer
    x = 456,137.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.