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Finding the Third Proportional to 200,632 and 311,662

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Solution

The third proportional to 200,632 and 311,662 is: 484,136.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,632 : 311,662 = 311,662 : x
  2. Step 2: Convert to fraction form
    200,632/311,662 = 311,662/x
  3. Step 3: Cross multiply
    200,632x = 311,662 × 311,662
  4. Step 4: Simplify right side
    200,632x = 97,133,202,244
  5. Step 5: Solve for x
    x = 97,133,202,244/200,632
  6. Step 6: Final answer
    x = 484,136.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.