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Finding the Third Proportional to 291,668 and 628,858

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Solution

The third proportional to 291,668 and 628,858 is: 1,355,864.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,668 : 628,858 = 628,858 : x
  2. Step 2: Convert to fraction form
    291,668/628,858 = 628,858/x
  3. Step 3: Cross multiply
    291,668x = 628,858 × 628,858
  4. Step 4: Simplify right side
    291,668x = 395,462,384,164
  5. Step 5: Solve for x
    x = 395,462,384,164/291,668
  6. Step 6: Final answer
    x = 1,355,864.83

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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.