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Finding the Third Proportional to 289,009 and 460,268

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Solution

The third proportional to 289,009 and 460,268 is: 733,010.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,009 : 460,268 = 460,268 : x
  2. Step 2: Convert to fraction form
    289,009/460,268 = 460,268/x
  3. Step 3: Cross multiply
    289,009x = 460,268 × 460,268
  4. Step 4: Simplify right side
    289,009x = 211,846,631,824
  5. Step 5: Solve for x
    x = 211,846,631,824/289,009
  6. Step 6: Final answer
    x = 733,010.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.