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Finding the Third Proportional to 395,442 and 612,824

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Solution

The third proportional to 395,442 and 612,824 is: 949,705.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,442 : 612,824 = 612,824 : x
  2. Step 2: Convert to fraction form
    395,442/612,824 = 612,824/x
  3. Step 3: Cross multiply
    395,442x = 612,824 × 612,824
  4. Step 4: Simplify right side
    395,442x = 375,553,254,976
  5. Step 5: Solve for x
    x = 375,553,254,976/395,442
  6. Step 6: Final answer
    x = 949,705.03

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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.