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Finding the Third Proportional to 81,081 and 164,430

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Solution

The third proportional to 81,081 and 164,430 is: 333,459.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,081 : 164,430 = 164,430 : x
  2. Step 2: Convert to fraction form
    81,081/164,430 = 164,430/x
  3. Step 3: Cross multiply
    81,081x = 164,430 × 164,430
  4. Step 4: Simplify right side
    81,081x = 27,037,224,900
  5. Step 5: Solve for x
    x = 27,037,224,900/81,081
  6. Step 6: Final answer
    x = 333,459.44

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.