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Finding the Third Proportional to 69,318 and 135,132

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Solution

The third proportional to 69,318 and 135,132 is: 263,433.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,318 : 135,132 = 135,132 : x
  2. Step 2: Convert to fraction form
    69,318/135,132 = 135,132/x
  3. Step 3: Cross multiply
    69,318x = 135,132 × 135,132
  4. Step 4: Simplify right side
    69,318x = 18,260,657,424
  5. Step 5: Solve for x
    x = 18,260,657,424/69,318
  6. Step 6: Final answer
    x = 263,433.13

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.