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Finding the Third Proportional to 395,850 and 862,742

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Solution

The third proportional to 395,850 and 862,742 is: 1,880,317.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,850 : 862,742 = 862,742 : x
  2. Step 2: Convert to fraction form
    395,850/862,742 = 862,742/x
  3. Step 3: Cross multiply
    395,850x = 862,742 × 862,742
  4. Step 4: Simplify right side
    395,850x = 744,323,758,564
  5. Step 5: Solve for x
    x = 744,323,758,564/395,850
  6. Step 6: Final answer
    x = 1,880,317.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.