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Finding the Third Proportional to 198,828 and 301,137

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Solution

The third proportional to 198,828 and 301,137 is: 456,090.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,828 : 301,137 = 301,137 : x
  2. Step 2: Convert to fraction form
    198,828/301,137 = 301,137/x
  3. Step 3: Cross multiply
    198,828x = 301,137 × 301,137
  4. Step 4: Simplify right side
    198,828x = 90,683,492,769
  5. Step 5: Solve for x
    x = 90,683,492,769/198,828
  6. Step 6: Final answer
    x = 456,090.15

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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.