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Finding the Third Proportional to 66,512 and 144,661

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Solution

The third proportional to 66,512 and 144,661 is: 314,632.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,512 : 144,661 = 144,661 : x
  2. Step 2: Convert to fraction form
    66,512/144,661 = 144,661/x
  3. Step 3: Cross multiply
    66,512x = 144,661 × 144,661
  4. Step 4: Simplify right side
    66,512x = 20,926,804,921
  5. Step 5: Solve for x
    x = 20,926,804,921/66,512
  6. Step 6: Final answer
    x = 314,632.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.