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Finding the Third Proportional to 395,421 and 612,795

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Solution

The third proportional to 395,421 and 612,795 is: 949,665.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,421 : 612,795 = 612,795 : x
  2. Step 2: Convert to fraction form
    395,421/612,795 = 612,795/x
  3. Step 3: Cross multiply
    395,421x = 612,795 × 612,795
  4. Step 4: Simplify right side
    395,421x = 375,517,712,025
  5. Step 5: Solve for x
    x = 375,517,712,025/395,421
  6. Step 6: Final answer
    x = 949,665.58

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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.