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Finding the Third Proportional to 42,219 and 66,851

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Solution

The third proportional to 42,219 and 66,851 is: 105,854.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,219 : 66,851 = 66,851 : x
  2. Step 2: Convert to fraction form
    42,219/66,851 = 66,851/x
  3. Step 3: Cross multiply
    42,219x = 66,851 × 66,851
  4. Step 4: Simplify right side
    42,219x = 4,469,056,201
  5. Step 5: Solve for x
    x = 4,469,056,201/42,219
  6. Step 6: Final answer
    x = 105,854.15

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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.