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Finding the Third Proportional to 128,648 and 197,962

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Solution

The third proportional to 128,648 and 197,962 is: 304,621.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,648 : 197,962 = 197,962 : x
  2. Step 2: Convert to fraction form
    128,648/197,962 = 197,962/x
  3. Step 3: Cross multiply
    128,648x = 197,962 × 197,962
  4. Step 4: Simplify right side
    128,648x = 39,188,953,444
  5. Step 5: Solve for x
    x = 39,188,953,444/128,648
  6. Step 6: Final answer
    x = 304,621.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.