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Finding the Third Proportional to 321,912 and 509,619

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Solution

The third proportional to 321,912 and 509,619 is: 806,778.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,912 : 509,619 = 509,619 : x
  2. Step 2: Convert to fraction form
    321,912/509,619 = 509,619/x
  3. Step 3: Cross multiply
    321,912x = 509,619 × 509,619
  4. Step 4: Simplify right side
    321,912x = 259,711,525,161
  5. Step 5: Solve for x
    x = 259,711,525,161/321,912
  6. Step 6: Final answer
    x = 806,778.02

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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.