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Finding the Third Proportional to 508,326 and 1,100,338

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Solution

The third proportional to 508,326 and 1,100,338 is: 2,381,825.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,326 : 1,100,338 = 1,100,338 : x
  2. Step 2: Convert to fraction form
    508,326/1,100,338 = 1,100,338/x
  3. Step 3: Cross multiply
    508,326x = 1,100,338 × 1,100,338
  4. Step 4: Simplify right side
    508,326x = 1,210,743,714,244
  5. Step 5: Solve for x
    x = 1,210,743,714,244/508,326
  6. Step 6: Final answer
    x = 2,381,825.27

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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.