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Finding the Third Proportional to 201,986 and 313,644

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Solution

The third proportional to 201,986 and 313,644 is: 487,026.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,986 : 313,644 = 313,644 : x
  2. Step 2: Convert to fraction form
    201,986/313,644 = 313,644/x
  3. Step 3: Cross multiply
    201,986x = 313,644 × 313,644
  4. Step 4: Simplify right side
    201,986x = 98,372,558,736
  5. Step 5: Solve for x
    x = 98,372,558,736/201,986
  6. Step 6: Final answer
    x = 487,026.62

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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.