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Finding the Third Proportional to 201,218 and 282,002

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Solution

The third proportional to 201,218 and 282,002 is: 395,218.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,218 : 282,002 = 282,002 : x
  2. Step 2: Convert to fraction form
    201,218/282,002 = 282,002/x
  3. Step 3: Cross multiply
    201,218x = 282,002 × 282,002
  4. Step 4: Simplify right side
    201,218x = 79,525,128,004
  5. Step 5: Solve for x
    x = 79,525,128,004/201,218
  6. Step 6: Final answer
    x = 395,218.76

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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.