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Finding the Third Proportional to 44,536 and 92,744.50

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Solution

The third proportional to 44,536 and 92,744.50 is: 193,136.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,536 : 92,744.50 = 92,744.50 : x
  2. Step 2: Convert to fraction form
    44,536/92,744.50 = 92,744.50/x
  3. Step 3: Cross multiply
    44,536x = 92,744.50 × 92,744.50
  4. Step 4: Simplify right side
    44,536x = 8,601,542,280.25
  5. Step 5: Solve for x
    x = 8,601,542,280.25/44,536
  6. Step 6: Final answer
    x = 193,136.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.