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Finding the Third Proportional to 108,021 and 168,148

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Solution

The third proportional to 108,021 and 168,148 is: 261,743.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,021 : 168,148 = 168,148 : x
  2. Step 2: Convert to fraction form
    108,021/168,148 = 168,148/x
  3. Step 3: Cross multiply
    108,021x = 168,148 × 168,148
  4. Step 4: Simplify right side
    108,021x = 28,273,749,904
  5. Step 5: Solve for x
    x = 28,273,749,904/108,021
  6. Step 6: Final answer
    x = 261,743.09

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.