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Finding the Third Proportional to 69,348 and 135,240

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Solution

The third proportional to 69,348 and 135,240 is: 263,740.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,348 : 135,240 = 135,240 : x
  2. Step 2: Convert to fraction form
    69,348/135,240 = 135,240/x
  3. Step 3: Cross multiply
    69,348x = 135,240 × 135,240
  4. Step 4: Simplify right side
    69,348x = 18,289,857,600
  5. Step 5: Solve for x
    x = 18,289,857,600/69,348
  6. Step 6: Final answer
    x = 263,740.23

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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.