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Finding the Third Proportional to 298,456 and 462,816

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Solution

The third proportional to 298,456 and 462,816 is: 717,689.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,456 : 462,816 = 462,816 : x
  2. Step 2: Convert to fraction form
    298,456/462,816 = 462,816/x
  3. Step 3: Cross multiply
    298,456x = 462,816 × 462,816
  4. Step 4: Simplify right side
    298,456x = 214,198,649,856
  5. Step 5: Solve for x
    x = 214,198,649,856/298,456
  6. Step 6: Final answer
    x = 717,689.21

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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.