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Finding the Third Proportional to 128,406.75 and 197,622

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Solution

The third proportional to 128,406.75 and 197,622 is: 304,146.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,406.75 : 197,622 = 197,622 : x
  2. Step 2: Convert to fraction form
    128,406.75/197,622 = 197,622/x
  3. Step 3: Cross multiply
    128,406.75x = 197,622 × 197,622
  4. Step 4: Simplify right side
    128,406.75x = 39,054,454,884
  5. Step 5: Solve for x
    x = 39,054,454,884/128,406.75
  6. Step 6: Final answer
    x = 304,146.43

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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.