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Finding the Third Proportional to 322,362 and 485,406

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Solution

The third proportional to 322,362 and 485,406 is: 730,914.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,362 : 485,406 = 485,406 : x
  2. Step 2: Convert to fraction form
    322,362/485,406 = 485,406/x
  3. Step 3: Cross multiply
    322,362x = 485,406 × 485,406
  4. Step 4: Simplify right side
    322,362x = 235,618,984,836
  5. Step 5: Solve for x
    x = 235,618,984,836/322,362
  6. Step 6: Final answer
    x = 730,914.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.