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Finding the Third Proportional to 91,102.50 and 200,142

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Solution

The third proportional to 91,102.50 and 200,142 is: 439,689.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,102.50 : 200,142 = 200,142 : x
  2. Step 2: Convert to fraction form
    91,102.50/200,142 = 200,142/x
  3. Step 3: Cross multiply
    91,102.50x = 200,142 × 200,142
  4. Step 4: Simplify right side
    91,102.50x = 40,056,820,164
  5. Step 5: Solve for x
    x = 40,056,820,164/91,102.50
  6. Step 6: Final answer
    x = 439,689.58

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.