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Finding the Third Proportional to 201,220 and 282,005

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Solution

The third proportional to 201,220 and 282,005 is: 395,223.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,220 : 282,005 = 282,005 : x
  2. Step 2: Convert to fraction form
    201,220/282,005 = 282,005/x
  3. Step 3: Cross multiply
    201,220x = 282,005 × 282,005
  4. Step 4: Simplify right side
    201,220x = 79,526,820,025
  5. Step 5: Solve for x
    x = 79,526,820,025/201,220
  6. Step 6: Final answer
    x = 395,223.24

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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.