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Finding the Third Proportional to 128,504,600 and 195,768,400

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Solution

The third proportional to 128,504,600 and 195,768,400 is: 298,240,424.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,504,600 : 195,768,400 = 195,768,400 : x
  2. Step 2: Convert to fraction form
    128,504,600/195,768,400 = 195,768,400/x
  3. Step 3: Cross multiply
    128,504,600x = 195,768,400 × 195,768,400
  4. Step 4: Simplify right side
    128,504,600x = 38,325,266,438,560,000
  5. Step 5: Solve for x
    x = 38,325,266,438,560,000/128,504,600
  6. Step 6: Final answer
    x = 298,240,424.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.