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Finding the Third Proportional to 235,206 and 515,448

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Solution

The third proportional to 235,206 and 515,448 is: 1,129,591.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,206 : 515,448 = 515,448 : x
  2. Step 2: Convert to fraction form
    235,206/515,448 = 515,448/x
  3. Step 3: Cross multiply
    235,206x = 515,448 × 515,448
  4. Step 4: Simplify right side
    235,206x = 265,686,640,704
  5. Step 5: Solve for x
    x = 265,686,640,704/235,206
  6. Step 6: Final answer
    x = 1,129,591.25

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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.