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Finding the Third Proportional to 81,908 and 175,201

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Solution

The third proportional to 81,908 and 175,201 is: 374,754.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,908 : 175,201 = 175,201 : x
  2. Step 2: Convert to fraction form
    81,908/175,201 = 175,201/x
  3. Step 3: Cross multiply
    81,908x = 175,201 × 175,201
  4. Step 4: Simplify right side
    81,908x = 30,695,390,401
  5. Step 5: Solve for x
    x = 30,695,390,401/81,908
  6. Step 6: Final answer
    x = 374,754.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.