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Finding the Third Proportional to 262,867 and 411,819

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Solution

The third proportional to 262,867 and 411,819 is: 645,173.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,867 : 411,819 = 411,819 : x
  2. Step 2: Convert to fraction form
    262,867/411,819 = 411,819/x
  3. Step 3: Cross multiply
    262,867x = 411,819 × 411,819
  4. Step 4: Simplify right side
    262,867x = 169,594,888,761
  5. Step 5: Solve for x
    x = 169,594,888,761/262,867
  6. Step 6: Final answer
    x = 645,173.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.