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Finding the Third Proportional to 201,778 and 282,786.50

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Solution

The third proportional to 201,778 and 282,786.50 is: 396,317.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,778 : 282,786.50 = 282,786.50 : x
  2. Step 2: Convert to fraction form
    201,778/282,786.50 = 282,786.50/x
  3. Step 3: Cross multiply
    201,778x = 282,786.50 × 282,786.50
  4. Step 4: Simplify right side
    201,778x = 79,968,204,582.25
  5. Step 5: Solve for x
    x = 79,968,204,582.25/201,778
  6. Step 6: Final answer
    x = 396,317.76

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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.