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Finding the Third Proportional to 42,642 and 66,742

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Solution

The third proportional to 42,642 and 66,742 is: 104,462.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,642 : 66,742 = 66,742 : x
  2. Step 2: Convert to fraction form
    42,642/66,742 = 66,742/x
  3. Step 3: Cross multiply
    42,642x = 66,742 × 66,742
  4. Step 4: Simplify right side
    42,642x = 4,454,494,564
  5. Step 5: Solve for x
    x = 4,454,494,564/42,642
  6. Step 6: Final answer
    x = 104,462.61

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.