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Finding the Third Proportional to 236,309 and 509,722

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Solution

The third proportional to 236,309 and 509,722 is: 1,099,477.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,309 : 509,722 = 509,722 : x
  2. Step 2: Convert to fraction form
    236,309/509,722 = 509,722/x
  3. Step 3: Cross multiply
    236,309x = 509,722 × 509,722
  4. Step 4: Simplify right side
    236,309x = 259,816,517,284
  5. Step 5: Solve for x
    x = 259,816,517,284/236,309
  6. Step 6: Final answer
    x = 1,099,477.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.