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Finding the Third Proportional to 259,697 and 405,947

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Solution

The third proportional to 259,697 and 405,947 is: 634,558.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,697 : 405,947 = 405,947 : x
  2. Step 2: Convert to fraction form
    259,697/405,947 = 405,947/x
  3. Step 3: Cross multiply
    259,697x = 405,947 × 405,947
  4. Step 4: Simplify right side
    259,697x = 164,792,966,809
  5. Step 5: Solve for x
    x = 164,792,966,809/259,697
  6. Step 6: Final answer
    x = 634,558.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.