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Finding the Third Proportional to 92,910 and 197,808

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Solution

The third proportional to 92,910 and 197,808 is: 421,138.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,910 : 197,808 = 197,808 : x
  2. Step 2: Convert to fraction form
    92,910/197,808 = 197,808/x
  3. Step 3: Cross multiply
    92,910x = 197,808 × 197,808
  4. Step 4: Simplify right side
    92,910x = 39,128,004,864
  5. Step 5: Solve for x
    x = 39,128,004,864/92,910
  6. Step 6: Final answer
    x = 421,138.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.