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Finding the Third Proportional to 126,971 and 197,237

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Solution

The third proportional to 126,971 and 197,237 is: 306,388.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,971 : 197,237 = 197,237 : x
  2. Step 2: Convert to fraction form
    126,971/197,237 = 197,237/x
  3. Step 3: Cross multiply
    126,971x = 197,237 × 197,237
  4. Step 4: Simplify right side
    126,971x = 38,902,434,169
  5. Step 5: Solve for x
    x = 38,902,434,169/126,971
  6. Step 6: Final answer
    x = 306,388.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.