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Finding the Third Proportional to 235,619 and 515,219

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Solution

The third proportional to 235,619 and 515,219 is: 1,126,609.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,619 : 515,219 = 515,219 : x
  2. Step 2: Convert to fraction form
    235,619/515,219 = 515,219/x
  3. Step 3: Cross multiply
    235,619x = 515,219 × 515,219
  4. Step 4: Simplify right side
    235,619x = 265,450,617,961
  5. Step 5: Solve for x
    x = 265,450,617,961/235,619
  6. Step 6: Final answer
    x = 1,126,609.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.