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Finding the Third Proportional to 200,827 and 310,962

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Solution

The third proportional to 200,827 and 310,962 is: 481,495.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,827 : 310,962 = 310,962 : x
  2. Step 2: Convert to fraction form
    200,827/310,962 = 310,962/x
  3. Step 3: Cross multiply
    200,827x = 310,962 × 310,962
  4. Step 4: Simplify right side
    200,827x = 96,697,365,444
  5. Step 5: Solve for x
    x = 96,697,365,444/200,827
  6. Step 6: Final answer
    x = 481,495.84

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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.