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Finding the Third Proportional to 120,858 and 265,881

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Solution

The third proportional to 120,858 and 265,881 is: 584,923.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,858 : 265,881 = 265,881 : x
  2. Step 2: Convert to fraction form
    120,858/265,881 = 265,881/x
  3. Step 3: Cross multiply
    120,858x = 265,881 × 265,881
  4. Step 4: Simplify right side
    120,858x = 70,692,706,161
  5. Step 5: Solve for x
    x = 70,692,706,161/120,858
  6. Step 6: Final answer
    x = 584,923.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.