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Finding the Third Proportional to 80,397 and 169,848

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Solution

The third proportional to 80,397 and 169,848 is: 358,823.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,397 : 169,848 = 169,848 : x
  2. Step 2: Convert to fraction form
    80,397/169,848 = 169,848/x
  3. Step 3: Cross multiply
    80,397x = 169,848 × 169,848
  4. Step 4: Simplify right side
    80,397x = 28,848,343,104
  5. Step 5: Solve for x
    x = 28,848,343,104/80,397
  6. Step 6: Final answer
    x = 358,823.63

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.