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Finding the Third Proportional to 108,852 and 236,112

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Solution

The third proportional to 108,852 and 236,112 is: 512,152.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,852 : 236,112 = 236,112 : x
  2. Step 2: Convert to fraction form
    108,852/236,112 = 236,112/x
  3. Step 3: Cross multiply
    108,852x = 236,112 × 236,112
  4. Step 4: Simplify right side
    108,852x = 55,748,876,544
  5. Step 5: Solve for x
    x = 55,748,876,544/108,852
  6. Step 6: Final answer
    x = 512,152.98

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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.