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Finding the Third Proportional to 150,702 and 321,396

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Solution

The third proportional to 150,702 and 321,396 is: 685,428.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,702 : 321,396 = 321,396 : x
  2. Step 2: Convert to fraction form
    150,702/321,396 = 321,396/x
  3. Step 3: Cross multiply
    150,702x = 321,396 × 321,396
  4. Step 4: Simplify right side
    150,702x = 103,295,388,816
  5. Step 5: Solve for x
    x = 103,295,388,816/150,702
  6. Step 6: Final answer
    x = 685,428.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.