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Finding the Third Proportional to 200,702 and 310,936

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Solution

The third proportional to 200,702 and 310,936 is: 481,715.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,702 : 310,936 = 310,936 : x
  2. Step 2: Convert to fraction form
    200,702/310,936 = 310,936/x
  3. Step 3: Cross multiply
    200,702x = 310,936 × 310,936
  4. Step 4: Simplify right side
    200,702x = 96,681,196,096
  5. Step 5: Solve for x
    x = 96,681,196,096/200,702
  6. Step 6: Final answer
    x = 481,715.16

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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.