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Finding the Third Proportional to 69,312 and 135,120

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Solution

The third proportional to 69,312 and 135,120 is: 263,409.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,312 : 135,120 = 135,120 : x
  2. Step 2: Convert to fraction form
    69,312/135,120 = 135,120/x
  3. Step 3: Cross multiply
    69,312x = 135,120 × 135,120
  4. Step 4: Simplify right side
    69,312x = 18,257,414,400
  5. Step 5: Solve for x
    x = 18,257,414,400/69,312
  6. Step 6: Final answer
    x = 263,409.14

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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.