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Finding the Third Proportional to 324,312.75 and 690,723

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Solution

The third proportional to 324,312.75 and 690,723 is: 1,471,105.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,312.75 : 690,723 = 690,723 : x
  2. Step 2: Convert to fraction form
    324,312.75/690,723 = 690,723/x
  3. Step 3: Cross multiply
    324,312.75x = 690,723 × 690,723
  4. Step 4: Simplify right side
    324,312.75x = 477,098,262,729
  5. Step 5: Solve for x
    x = 477,098,262,729/324,312.75
  6. Step 6: Final answer
    x = 1,471,105.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.