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Finding the Third Proportional to 91,270 and 199,745

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Solution

The third proportional to 91,270 and 199,745 is: 437,143.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,270 : 199,745 = 199,745 : x
  2. Step 2: Convert to fraction form
    91,270/199,745 = 199,745/x
  3. Step 3: Cross multiply
    91,270x = 199,745 × 199,745
  4. Step 4: Simplify right side
    91,270x = 39,898,065,025
  5. Step 5: Solve for x
    x = 39,898,065,025/91,270
  6. Step 6: Final answer
    x = 437,143.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.