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Finding the Third Proportional to 129,620 and 263,848

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Solution

The third proportional to 129,620 and 263,848 is: 537,075.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,620 : 263,848 = 263,848 : x
  2. Step 2: Convert to fraction form
    129,620/263,848 = 263,848/x
  3. Step 3: Cross multiply
    129,620x = 263,848 × 263,848
  4. Step 4: Simplify right side
    129,620x = 69,615,767,104
  5. Step 5: Solve for x
    x = 69,615,767,104/129,620
  6. Step 6: Final answer
    x = 537,075.81

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.