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Finding the Third Proportional to 128,596 and 196,600

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Solution

The third proportional to 128,596 and 196,600 is: 300,565.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,596 : 196,600 = 196,600 : x
  2. Step 2: Convert to fraction form
    128,596/196,600 = 196,600/x
  3. Step 3: Cross multiply
    128,596x = 196,600 × 196,600
  4. Step 4: Simplify right side
    128,596x = 38,651,560,000
  5. Step 5: Solve for x
    x = 38,651,560,000/128,596
  6. Step 6: Final answer
    x = 300,565.80

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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.