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Finding the Third Proportional to 286,826 and 421,889

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Solution

The third proportional to 286,826 and 421,889 is: 620,551.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,826 : 421,889 = 421,889 : x
  2. Step 2: Convert to fraction form
    286,826/421,889 = 421,889/x
  3. Step 3: Cross multiply
    286,826x = 421,889 × 421,889
  4. Step 4: Simplify right side
    286,826x = 177,990,328,321
  5. Step 5: Solve for x
    x = 177,990,328,321/286,826
  6. Step 6: Final answer
    x = 620,551.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.