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Finding the Third Proportional to 120,865 and 260,947

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Solution

The third proportional to 120,865 and 260,947 is: 563,383.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,865 : 260,947 = 260,947 : x
  2. Step 2: Convert to fraction form
    120,865/260,947 = 260,947/x
  3. Step 3: Cross multiply
    120,865x = 260,947 × 260,947
  4. Step 4: Simplify right side
    120,865x = 68,093,336,809
  5. Step 5: Solve for x
    x = 68,093,336,809/120,865
  6. Step 6: Final answer
    x = 563,383.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.