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Finding the Third Proportional to 43,546 and 92,228

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Solution

The third proportional to 43,546 and 92,228 is: 195,333.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,546 : 92,228 = 92,228 : x
  2. Step 2: Convert to fraction form
    43,546/92,228 = 92,228/x
  3. Step 3: Cross multiply
    43,546x = 92,228 × 92,228
  4. Step 4: Simplify right side
    43,546x = 8,506,003,984
  5. Step 5: Solve for x
    x = 8,506,003,984/43,546
  6. Step 6: Final answer
    x = 195,333.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.