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Finding the Third Proportional to 80,705 and 159,343

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Solution

The third proportional to 80,705 and 159,343 is: 314,604.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,705 : 159,343 = 159,343 : x
  2. Step 2: Convert to fraction form
    80,705/159,343 = 159,343/x
  3. Step 3: Cross multiply
    80,705x = 159,343 × 159,343
  4. Step 4: Simplify right side
    80,705x = 25,390,191,649
  5. Step 5: Solve for x
    x = 25,390,191,649/80,705
  6. Step 6: Final answer
    x = 314,604.94

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.