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Finding the Third Proportional to 65,686 and 136,043

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Solution

The third proportional to 65,686 and 136,043 is: 281,760.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,686 : 136,043 = 136,043 : x
  2. Step 2: Convert to fraction form
    65,686/136,043 = 136,043/x
  3. Step 3: Cross multiply
    65,686x = 136,043 × 136,043
  4. Step 4: Simplify right side
    65,686x = 18,507,697,849
  5. Step 5: Solve for x
    x = 18,507,697,849/65,686
  6. Step 6: Final answer
    x = 281,760.16

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.