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Finding the Third Proportional to 120,888 and 265,120

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Solution

The third proportional to 120,888 and 265,120 is: 581,435.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,888 : 265,120 = 265,120 : x
  2. Step 2: Convert to fraction form
    120,888/265,120 = 265,120/x
  3. Step 3: Cross multiply
    120,888x = 265,120 × 265,120
  4. Step 4: Simplify right side
    120,888x = 70,288,614,400
  5. Step 5: Solve for x
    x = 70,288,614,400/120,888
  6. Step 6: Final answer
    x = 581,435.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.