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Finding the Third Proportional to 213,292 and 322,205

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Solution

The third proportional to 213,292 and 322,205 is: 486,732.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,292 : 322,205 = 322,205 : x
  2. Step 2: Convert to fraction form
    213,292/322,205 = 322,205/x
  3. Step 3: Cross multiply
    213,292x = 322,205 × 322,205
  4. Step 4: Simplify right side
    213,292x = 103,816,062,025
  5. Step 5: Solve for x
    x = 103,816,062,025/213,292
  6. Step 6: Final answer
    x = 486,732.10

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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.