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Finding the Third Proportional to 64,981 and 135,068

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Solution

The third proportional to 64,981 and 135,068 is: 280,749.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,981 : 135,068 = 135,068 : x
  2. Step 2: Convert to fraction form
    64,981/135,068 = 135,068/x
  3. Step 3: Cross multiply
    64,981x = 135,068 × 135,068
  4. Step 4: Simplify right side
    64,981x = 18,243,364,624
  5. Step 5: Solve for x
    x = 18,243,364,624/64,981
  6. Step 6: Final answer
    x = 280,749.21

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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.