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Finding the Third Proportional to 321,906 and 509,610

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Solution

The third proportional to 321,906 and 509,610 is: 806,764.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,906 : 509,610 = 509,610 : x
  2. Step 2: Convert to fraction form
    321,906/509,610 = 509,610/x
  3. Step 3: Cross multiply
    321,906x = 509,610 × 509,610
  4. Step 4: Simplify right side
    321,906x = 259,702,352,100
  5. Step 5: Solve for x
    x = 259,702,352,100/321,906
  6. Step 6: Final answer
    x = 806,764.56

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.