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Finding the Third Proportional to 843,317.25 and 1,821,284.25

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Solution

The third proportional to 843,317.25 and 1,821,284.25 is: 3,933,367.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,317.25 : 1,821,284.25 = 1,821,284.25 : x
  2. Step 2: Convert to fraction form
    843,317.25/1,821,284.25 = 1,821,284.25/x
  3. Step 3: Cross multiply
    843,317.25x = 1,821,284.25 × 1,821,284.25
  4. Step 4: Simplify right side
    843,317.25x = 3,317,076,319,298.06
  5. Step 5: Solve for x
    x = 3,317,076,319,298.06/843,317.25
  6. Step 6: Final answer
    x = 3,933,367.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.