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Finding the Third Proportional to 321,920.50 and 693,661

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Solution

The third proportional to 321,920.50 and 693,661 is: 1,494,672.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,920.50 : 693,661 = 693,661 : x
  2. Step 2: Convert to fraction form
    321,920.50/693,661 = 693,661/x
  3. Step 3: Cross multiply
    321,920.50x = 693,661 × 693,661
  4. Step 4: Simplify right side
    321,920.50x = 481,165,582,921
  5. Step 5: Solve for x
    x = 481,165,582,921/321,920.50
  6. Step 6: Final answer
    x = 1,494,672.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.