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Finding the Third Proportional to 421,778 and 995,621

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Solution

The third proportional to 421,778 and 995,621 is: 2,350,196.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,778 : 995,621 = 995,621 : x
  2. Step 2: Convert to fraction form
    421,778/995,621 = 995,621/x
  3. Step 3: Cross multiply
    421,778x = 995,621 × 995,621
  4. Step 4: Simplify right side
    421,778x = 991,261,175,641
  5. Step 5: Solve for x
    x = 991,261,175,641/421,778
  6. Step 6: Final answer
    x = 2,350,196.49

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.