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Finding the Third Proportional to 81,399 and 169,035

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Solution

The third proportional to 81,399 and 169,035 is: 351,021.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,399 : 169,035 = 169,035 : x
  2. Step 2: Convert to fraction form
    81,399/169,035 = 169,035/x
  3. Step 3: Cross multiply
    81,399x = 169,035 × 169,035
  4. Step 4: Simplify right side
    81,399x = 28,572,831,225
  5. Step 5: Solve for x
    x = 28,572,831,225/81,399
  6. Step 6: Final answer
    x = 351,021.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.