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Finding the Third Proportional to 65,689 and 136,049

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Solution

The third proportional to 65,689 and 136,049 is: 281,772.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,689 : 136,049 = 136,049 : x
  2. Step 2: Convert to fraction form
    65,689/136,049 = 136,049/x
  3. Step 3: Cross multiply
    65,689x = 136,049 × 136,049
  4. Step 4: Simplify right side
    65,689x = 18,509,330,401
  5. Step 5: Solve for x
    x = 18,509,330,401/65,689
  6. Step 6: Final answer
    x = 281,772.14

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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.