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Finding the Third Proportional to 100,292 and 208,852

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Solution

The third proportional to 100,292 and 208,852 is: 434,921.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,292 : 208,852 = 208,852 : x
  2. Step 2: Convert to fraction form
    100,292/208,852 = 208,852/x
  3. Step 3: Cross multiply
    100,292x = 208,852 × 208,852
  4. Step 4: Simplify right side
    100,292x = 43,619,157,904
  5. Step 5: Solve for x
    x = 43,619,157,904/100,292
  6. Step 6: Final answer
    x = 434,921.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.