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Finding the Third Proportional to 201,221 and 282,008

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Solution

The third proportional to 201,221 and 282,008 is: 395,229.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,221 : 282,008 = 282,008 : x
  2. Step 2: Convert to fraction form
    201,221/282,008 = 282,008/x
  3. Step 3: Cross multiply
    201,221x = 282,008 × 282,008
  4. Step 4: Simplify right side
    201,221x = 79,528,512,064
  5. Step 5: Solve for x
    x = 79,528,512,064/201,221
  6. Step 6: Final answer
    x = 395,229.68

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.