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Finding the Third Proportional to 198,854 and 301,174

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Solution

The third proportional to 198,854 and 301,174 is: 456,142.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,854 : 301,174 = 301,174 : x
  2. Step 2: Convert to fraction form
    198,854/301,174 = 301,174/x
  3. Step 3: Cross multiply
    198,854x = 301,174 × 301,174
  4. Step 4: Simplify right side
    198,854x = 90,705,778,276
  5. Step 5: Solve for x
    x = 90,705,778,276/198,854
  6. Step 6: Final answer
    x = 456,142.59

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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.