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Finding the Third Proportional to 120,859 and 265,883

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Solution

The third proportional to 120,859 and 265,883 is: 584,927.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,859 : 265,883 = 265,883 : x
  2. Step 2: Convert to fraction form
    120,859/265,883 = 265,883/x
  3. Step 3: Cross multiply
    120,859x = 265,883 × 265,883
  4. Step 4: Simplify right side
    120,859x = 70,693,769,689
  5. Step 5: Solve for x
    x = 70,693,769,689/120,859
  6. Step 6: Final answer
    x = 584,927.64

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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.