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Finding the Third Proportional to 128,148 and 197,238

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Solution

The third proportional to 128,148 and 197,238 is: 303,577.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,148 : 197,238 = 197,238 : x
  2. Step 2: Convert to fraction form
    128,148/197,238 = 197,238/x
  3. Step 3: Cross multiply
    128,148x = 197,238 × 197,238
  4. Step 4: Simplify right side
    128,148x = 38,902,828,644
  5. Step 5: Solve for x
    x = 38,902,828,644/128,148
  6. Step 6: Final answer
    x = 303,577.34

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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.