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Finding the Third Proportional to 44,222 and 92,546

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Solution

The third proportional to 44,222 and 92,546 is: 193,676.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,222 : 92,546 = 92,546 : x
  2. Step 2: Convert to fraction form
    44,222/92,546 = 92,546/x
  3. Step 3: Cross multiply
    44,222x = 92,546 × 92,546
  4. Step 4: Simplify right side
    44,222x = 8,564,762,116
  5. Step 5: Solve for x
    x = 8,564,762,116/44,222
  6. Step 6: Final answer
    x = 193,676.50

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.