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Finding the Third Proportional to 203,971 and 286,729

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Solution

The third proportional to 203,971 and 286,729 is: 403,064.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,971 : 286,729 = 286,729 : x
  2. Step 2: Convert to fraction form
    203,971/286,729 = 286,729/x
  3. Step 3: Cross multiply
    203,971x = 286,729 × 286,729
  4. Step 4: Simplify right side
    203,971x = 82,213,519,441
  5. Step 5: Solve for x
    x = 82,213,519,441/203,971
  6. Step 6: Final answer
    x = 403,064.75

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.