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Finding the Third Proportional to 108,405 and 166,860

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Solution

The third proportional to 108,405 and 166,860 is: 256,835.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,405 : 166,860 = 166,860 : x
  2. Step 2: Convert to fraction form
    108,405/166,860 = 166,860/x
  3. Step 3: Cross multiply
    108,405x = 166,860 × 166,860
  4. Step 4: Simplify right side
    108,405x = 27,842,259,600
  5. Step 5: Solve for x
    x = 27,842,259,600/108,405
  6. Step 6: Final answer
    x = 256,835.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.