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Finding the Third Proportional to 282,821 and 609,922

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Solution

The third proportional to 282,821 and 609,922 is: 1,315,336.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,821 : 609,922 = 609,922 : x
  2. Step 2: Convert to fraction form
    282,821/609,922 = 609,922/x
  3. Step 3: Cross multiply
    282,821x = 609,922 × 609,922
  4. Step 4: Simplify right side
    282,821x = 372,004,846,084
  5. Step 5: Solve for x
    x = 372,004,846,084/282,821
  6. Step 6: Final answer
    x = 1,315,336.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.