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Finding the Third Proportional to 325,405 and 666,664

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Solution

The third proportional to 325,405 and 666,664 is: 1,365,808.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,405 : 666,664 = 666,664 : x
  2. Step 2: Convert to fraction form
    325,405/666,664 = 666,664/x
  3. Step 3: Cross multiply
    325,405x = 666,664 × 666,664
  4. Step 4: Simplify right side
    325,405x = 444,440,888,896
  5. Step 5: Solve for x
    x = 444,440,888,896/325,405
  6. Step 6: Final answer
    x = 1,365,808.42

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.