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Finding the Third Proportional to 65,908 and 136,489

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Solution

The third proportional to 65,908 and 136,489 is: 282,655.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,908 : 136,489 = 136,489 : x
  2. Step 2: Convert to fraction form
    65,908/136,489 = 136,489/x
  3. Step 3: Cross multiply
    65,908x = 136,489 × 136,489
  4. Step 4: Simplify right side
    65,908x = 18,629,247,121
  5. Step 5: Solve for x
    x = 18,629,247,121/65,908
  6. Step 6: Final answer
    x = 282,655.32

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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.