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Finding the Third Proportional to 423,884 and 920,668

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Solution

The third proportional to 423,884 and 920,668 is: 1,999,673.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,884 : 920,668 = 920,668 : x
  2. Step 2: Convert to fraction form
    423,884/920,668 = 920,668/x
  3. Step 3: Cross multiply
    423,884x = 920,668 × 920,668
  4. Step 4: Simplify right side
    423,884x = 847,629,566,224
  5. Step 5: Solve for x
    x = 847,629,566,224/423,884
  6. Step 6: Final answer
    x = 1,999,673.42

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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.