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Finding the Third Proportional to 120,804 and 177,648

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Solution

The third proportional to 120,804 and 177,648 is: 261,239.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,804 : 177,648 = 177,648 : x
  2. Step 2: Convert to fraction form
    120,804/177,648 = 177,648/x
  3. Step 3: Cross multiply
    120,804x = 177,648 × 177,648
  4. Step 4: Simplify right side
    120,804x = 31,558,811,904
  5. Step 5: Solve for x
    x = 31,558,811,904/120,804
  6. Step 6: Final answer
    x = 261,239.79

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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.