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Finding the Third Proportional to 201,785 and 282,796

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Solution

The third proportional to 201,785 and 282,796 is: 396,330.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,785 : 282,796 = 282,796 : x
  2. Step 2: Convert to fraction form
    201,785/282,796 = 282,796/x
  3. Step 3: Cross multiply
    201,785x = 282,796 × 282,796
  4. Step 4: Simplify right side
    201,785x = 79,973,577,616
  5. Step 5: Solve for x
    x = 79,973,577,616/201,785
  6. Step 6: Final answer
    x = 396,330.64

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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.