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Finding the Third Proportional to 395,442 and 612,822

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Solution

The third proportional to 395,442 and 612,822 is: 949,698.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,442 : 612,822 = 612,822 : x
  2. Step 2: Convert to fraction form
    395,442/612,822 = 612,822/x
  3. Step 3: Cross multiply
    395,442x = 612,822 × 612,822
  4. Step 4: Simplify right side
    395,442x = 375,550,803,684
  5. Step 5: Solve for x
    x = 375,550,803,684/395,442
  6. Step 6: Final answer
    x = 949,698.83

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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.