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Finding the Third Proportional to 395,505 and 612,918

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Solution

The third proportional to 395,505 and 612,918 is: 949,845.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,505 : 612,918 = 612,918 : x
  2. Step 2: Convert to fraction form
    395,505/612,918 = 612,918/x
  3. Step 3: Cross multiply
    395,505x = 612,918 × 612,918
  4. Step 4: Simplify right side
    395,505x = 375,668,474,724
  5. Step 5: Solve for x
    x = 375,668,474,724/395,505
  6. Step 6: Final answer
    x = 949,845.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.