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Finding the Third Proportional to 81,903 and 168,312

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Solution

The third proportional to 81,903 and 168,312 is: 345,883.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,903 : 168,312 = 168,312 : x
  2. Step 2: Convert to fraction form
    81,903/168,312 = 168,312/x
  3. Step 3: Cross multiply
    81,903x = 168,312 × 168,312
  4. Step 4: Simplify right side
    81,903x = 28,328,929,344
  5. Step 5: Solve for x
    x = 28,328,929,344/81,903
  6. Step 6: Final answer
    x = 345,883.90

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.