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Finding the Third Proportional to 128,847 and 196,602

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Solution

The third proportional to 128,847 and 196,602 is: 299,986.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,847 : 196,602 = 196,602 : x
  2. Step 2: Convert to fraction form
    128,847/196,602 = 196,602/x
  3. Step 3: Cross multiply
    128,847x = 196,602 × 196,602
  4. Step 4: Simplify right side
    128,847x = 38,652,346,404
  5. Step 5: Solve for x
    x = 38,652,346,404/128,847
  6. Step 6: Final answer
    x = 299,986.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.