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Finding the Third Proportional to 322,976 and 462,320

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Solution

The third proportional to 322,976 and 462,320 is: 661,782.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,976 : 462,320 = 462,320 : x
  2. Step 2: Convert to fraction form
    322,976/462,320 = 462,320/x
  3. Step 3: Cross multiply
    322,976x = 462,320 × 462,320
  4. Step 4: Simplify right side
    322,976x = 213,739,782,400
  5. Step 5: Solve for x
    x = 213,739,782,400/322,976
  6. Step 6: Final answer
    x = 661,782.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.