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Finding the Third Proportional to 92,142 and 197,388

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Solution

The third proportional to 92,142 and 197,388 is: 422,847.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,142 : 197,388 = 197,388 : x
  2. Step 2: Convert to fraction form
    92,142/197,388 = 197,388/x
  3. Step 3: Cross multiply
    92,142x = 197,388 × 197,388
  4. Step 4: Simplify right side
    92,142x = 38,962,022,544
  5. Step 5: Solve for x
    x = 38,962,022,544/92,142
  6. Step 6: Final answer
    x = 422,847.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.