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Finding the Third Proportional to 298,460 and 462,822

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Solution

The third proportional to 298,460 and 462,822 is: 717,698.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,460 : 462,822 = 462,822 : x
  2. Step 2: Convert to fraction form
    298,460/462,822 = 462,822/x
  3. Step 3: Cross multiply
    298,460x = 462,822 × 462,822
  4. Step 4: Simplify right side
    298,460x = 214,204,203,684
  5. Step 5: Solve for x
    x = 214,204,203,684/298,460
  6. Step 6: Final answer
    x = 717,698.20

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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.