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Finding the Third Proportional to 42,620 and 66,174

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Solution

The third proportional to 42,620 and 66,174 is: 102,745.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,620 : 66,174 = 66,174 : x
  2. Step 2: Convert to fraction form
    42,620/66,174 = 66,174/x
  3. Step 3: Cross multiply
    42,620x = 66,174 × 66,174
  4. Step 4: Simplify right side
    42,620x = 4,378,998,276
  5. Step 5: Solve for x
    x = 4,378,998,276/42,620
  6. Step 6: Final answer
    x = 102,745.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.