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Finding the Third Proportional to 80,901 and 168,258

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Solution

The third proportional to 80,901 and 168,258 is: 349,943.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,901 : 168,258 = 168,258 : x
  2. Step 2: Convert to fraction form
    80,901/168,258 = 168,258/x
  3. Step 3: Cross multiply
    80,901x = 168,258 × 168,258
  4. Step 4: Simplify right side
    80,901x = 28,310,754,564
  5. Step 5: Solve for x
    x = 28,310,754,564/80,901
  6. Step 6: Final answer
    x = 349,943.20

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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.