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Finding the Third Proportional to 66,080 and 106,399

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Solution

The third proportional to 66,080 and 106,399 is: 171,318.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,080 : 106,399 = 106,399 : x
  2. Step 2: Convert to fraction form
    66,080/106,399 = 106,399/x
  3. Step 3: Cross multiply
    66,080x = 106,399 × 106,399
  4. Step 4: Simplify right side
    66,080x = 11,320,747,201
  5. Step 5: Solve for x
    x = 11,320,747,201/66,080
  6. Step 6: Final answer
    x = 171,318.81

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.