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Finding the Third Proportional to 325,407 and 666,666

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Solution

The third proportional to 325,407 and 666,666 is: 1,365,808.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,407 : 666,666 = 666,666 : x
  2. Step 2: Convert to fraction form
    325,407/666,666 = 666,666/x
  3. Step 3: Cross multiply
    325,407x = 666,666 × 666,666
  4. Step 4: Simplify right side
    325,407x = 444,443,555,556
  5. Step 5: Solve for x
    x = 444,443,555,556/325,407
  6. Step 6: Final answer
    x = 1,365,808.22

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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.