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Finding the Third Proportional to 42,201 and 66,825

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Solution

The third proportional to 42,201 and 66,825 is: 105,816.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,201 : 66,825 = 66,825 : x
  2. Step 2: Convert to fraction form
    42,201/66,825 = 66,825/x
  3. Step 3: Cross multiply
    42,201x = 66,825 × 66,825
  4. Step 4: Simplify right side
    42,201x = 4,465,580,625
  5. Step 5: Solve for x
    x = 4,465,580,625/42,201
  6. Step 6: Final answer
    x = 105,816.94

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.