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Finding the Third Proportional to 236,980 and 513,326

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Solution

The third proportional to 236,980 and 513,326 is: 1,111,923.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,980 : 513,326 = 513,326 : x
  2. Step 2: Convert to fraction form
    236,980/513,326 = 513,326/x
  3. Step 3: Cross multiply
    236,980x = 513,326 × 513,326
  4. Step 4: Simplify right side
    236,980x = 263,503,582,276
  5. Step 5: Solve for x
    x = 263,503,582,276/236,980
  6. Step 6: Final answer
    x = 1,111,923.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.