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Finding the Third Proportional to 326,609 and 666,340

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Solution

The third proportional to 326,609 and 666,340 is: 1,359,451.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,609 : 666,340 = 666,340 : x
  2. Step 2: Convert to fraction form
    326,609/666,340 = 666,340/x
  3. Step 3: Cross multiply
    326,609x = 666,340 × 666,340
  4. Step 4: Simplify right side
    326,609x = 444,008,995,600
  5. Step 5: Solve for x
    x = 444,008,995,600/326,609
  6. Step 6: Final answer
    x = 1,359,451.20

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.