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Finding the Third Proportional to 324,400 and 696,748

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Solution

The third proportional to 324,400 and 696,748 is: 1,496,478.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,400 : 696,748 = 696,748 : x
  2. Step 2: Convert to fraction form
    324,400/696,748 = 696,748/x
  3. Step 3: Cross multiply
    324,400x = 696,748 × 696,748
  4. Step 4: Simplify right side
    324,400x = 485,457,775,504
  5. Step 5: Solve for x
    x = 485,457,775,504/324,400
  6. Step 6: Final answer
    x = 1,496,478.96

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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.