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Finding the Third Proportional to 120,860 and 265,884

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Solution

The third proportional to 120,860 and 265,884 is: 584,927.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,860 : 265,884 = 265,884 : x
  2. Step 2: Convert to fraction form
    120,860/265,884 = 265,884/x
  3. Step 3: Cross multiply
    120,860x = 265,884 × 265,884
  4. Step 4: Simplify right side
    120,860x = 70,694,301,456
  5. Step 5: Solve for x
    x = 70,694,301,456/120,860
  6. Step 6: Final answer
    x = 584,927.20

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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.