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Finding the Third Proportional to 128,845.05 and 196,599.34

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Solution

The third proportional to 128,845.05 and 196,599.34 is: 299,982.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,845.05 : 196,599.34 = 196,599.34 : x
  2. Step 2: Convert to fraction form
    128,845.05/196,599.34 = 196,599.34/x
  3. Step 3: Cross multiply
    128,845.05x = 196,599.34 × 196,599.34
  4. Step 4: Simplify right side
    128,845.05x = 38,651,300,427.00
  5. Step 5: Solve for x
    x = 38,651,300,427.00/128,845.05
  6. Step 6: Final answer
    x = 299,982.80

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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.