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Finding the Third Proportional to 75,602 and 164,326

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Solution

The third proportional to 75,602 and 164,326 is: 357,173.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,602 : 164,326 = 164,326 : x
  2. Step 2: Convert to fraction form
    75,602/164,326 = 164,326/x
  3. Step 3: Cross multiply
    75,602x = 164,326 × 164,326
  4. Step 4: Simplify right side
    75,602x = 27,003,034,276
  5. Step 5: Solve for x
    x = 27,003,034,276/75,602
  6. Step 6: Final answer
    x = 357,173.54

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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.