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Finding the Third Proportional to 66,281 and 102,401

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Solution

The third proportional to 66,281 and 102,401 is: 158,204.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,281 : 102,401 = 102,401 : x
  2. Step 2: Convert to fraction form
    66,281/102,401 = 102,401/x
  3. Step 3: Cross multiply
    66,281x = 102,401 × 102,401
  4. Step 4: Simplify right side
    66,281x = 10,485,964,801
  5. Step 5: Solve for x
    x = 10,485,964,801/66,281
  6. Step 6: Final answer
    x = 158,204.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.