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Finding the Third Proportional to 197,316 and 279,207

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Solution

The third proportional to 197,316 and 279,207 is: 395,084.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,316 : 279,207 = 279,207 : x
  2. Step 2: Convert to fraction form
    197,316/279,207 = 279,207/x
  3. Step 3: Cross multiply
    197,316x = 279,207 × 279,207
  4. Step 4: Simplify right side
    197,316x = 77,956,548,849
  5. Step 5: Solve for x
    x = 77,956,548,849/197,316
  6. Step 6: Final answer
    x = 395,084.78

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.