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Finding the Third Proportional to 395,442 and 863,055

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Solution

The third proportional to 395,442 and 863,055 is: 1,883,623.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,442 : 863,055 = 863,055 : x
  2. Step 2: Convert to fraction form
    395,442/863,055 = 863,055/x
  3. Step 3: Cross multiply
    395,442x = 863,055 × 863,055
  4. Step 4: Simplify right side
    395,442x = 744,863,933,025
  5. Step 5: Solve for x
    x = 744,863,933,025/395,442
  6. Step 6: Final answer
    x = 1,883,623.72

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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.