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Finding the Third Proportional to 65,040 and 135,012

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Solution

The third proportional to 65,040 and 135,012 is: 280,261.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,040 : 135,012 = 135,012 : x
  2. Step 2: Convert to fraction form
    65,040/135,012 = 135,012/x
  3. Step 3: Cross multiply
    65,040x = 135,012 × 135,012
  4. Step 4: Simplify right side
    65,040x = 18,228,240,144
  5. Step 5: Solve for x
    x = 18,228,240,144/65,040
  6. Step 6: Final answer
    x = 280,261.99

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.