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Finding the Third Proportional to 321,958.13 and 699,276.38

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Solution

The third proportional to 321,958.13 and 699,276.38 is: 1,518,792.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,958.13 : 699,276.38 = 699,276.38 : x
  2. Step 2: Convert to fraction form
    321,958.13/699,276.38 = 699,276.38/x
  3. Step 3: Cross multiply
    321,958.13x = 699,276.38 × 699,276.38
  4. Step 4: Simplify right side
    321,958.13x = 488,987,448,633.14
  5. Step 5: Solve for x
    x = 488,987,448,633.14/321,958.13
  6. Step 6: Final answer
    x = 1,518,792.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.