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Finding the Third Proportional to 69,420 and 135,384

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Solution

The third proportional to 69,420 and 135,384 is: 264,028.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,420 : 135,384 = 135,384 : x
  2. Step 2: Convert to fraction form
    69,420/135,384 = 135,384/x
  3. Step 3: Cross multiply
    69,420x = 135,384 × 135,384
  4. Step 4: Simplify right side
    69,420x = 18,328,827,456
  5. Step 5: Solve for x
    x = 18,328,827,456/69,420
  6. Step 6: Final answer
    x = 264,028.05

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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.