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Finding the Third Proportional to 65,115 and 133,686

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Solution

The third proportional to 65,115 and 133,686 is: 274,467.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,115 : 133,686 = 133,686 : x
  2. Step 2: Convert to fraction form
    65,115/133,686 = 133,686/x
  3. Step 3: Cross multiply
    65,115x = 133,686 × 133,686
  4. Step 4: Simplify right side
    65,115x = 17,871,946,596
  5. Step 5: Solve for x
    x = 17,871,946,596/65,115
  6. Step 6: Final answer
    x = 274,467.43

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.