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Finding the Third Proportional to 66,817 and 102,745

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Solution

The third proportional to 66,817 and 102,745 is: 157,991.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,817 : 102,745 = 102,745 : x
  2. Step 2: Convert to fraction form
    66,817/102,745 = 102,745/x
  3. Step 3: Cross multiply
    66,817x = 102,745 × 102,745
  4. Step 4: Simplify right side
    66,817x = 10,556,535,025
  5. Step 5: Solve for x
    x = 10,556,535,025/66,817
  6. Step 6: Final answer
    x = 157,991.75

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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.