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Finding the Third Proportional to 120,581 and 177,383

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Solution

The third proportional to 120,581 and 177,383 is: 260,942.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,581 : 177,383 = 177,383 : x
  2. Step 2: Convert to fraction form
    120,581/177,383 = 177,383/x
  3. Step 3: Cross multiply
    120,581x = 177,383 × 177,383
  4. Step 4: Simplify right side
    120,581x = 31,464,728,689
  5. Step 5: Solve for x
    x = 31,464,728,689/120,581
  6. Step 6: Final answer
    x = 260,942.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.