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Finding the Third Proportional to 92,056.50 and 200,745

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Solution

The third proportional to 92,056.50 and 200,745 is: 437,758.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,056.50 : 200,745 = 200,745 : x
  2. Step 2: Convert to fraction form
    92,056.50/200,745 = 200,745/x
  3. Step 3: Cross multiply
    92,056.50x = 200,745 × 200,745
  4. Step 4: Simplify right side
    92,056.50x = 40,298,555,025
  5. Step 5: Solve for x
    x = 40,298,555,025/92,056.50
  6. Step 6: Final answer
    x = 437,758.93

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.