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Finding the Third Proportional to 120,272 and 170,956

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Solution

The third proportional to 120,272 and 170,956 is: 242,998.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,272 : 170,956 = 170,956 : x
  2. Step 2: Convert to fraction form
    120,272/170,956 = 170,956/x
  3. Step 3: Cross multiply
    120,272x = 170,956 × 170,956
  4. Step 4: Simplify right side
    120,272x = 29,225,953,936
  5. Step 5: Solve for x
    x = 29,225,953,936/120,272
  6. Step 6: Final answer
    x = 242,998.82

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.