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Finding the Third Proportional to 198,128 and 386,333

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Solution

The third proportional to 198,128 and 386,333 is: 753,316.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,128 : 386,333 = 386,333 : x
  2. Step 2: Convert to fraction form
    198,128/386,333 = 386,333/x
  3. Step 3: Cross multiply
    198,128x = 386,333 × 386,333
  4. Step 4: Simplify right side
    198,128x = 149,253,186,889
  5. Step 5: Solve for x
    x = 149,253,186,889/198,128
  6. Step 6: Final answer
    x = 753,316.98

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.