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Finding the Third Proportional to 42,786 and 66,512

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Solution

The third proportional to 42,786 and 66,512 is: 103,394.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,786 : 66,512 = 66,512 : x
  2. Step 2: Convert to fraction form
    42,786/66,512 = 66,512/x
  3. Step 3: Cross multiply
    42,786x = 66,512 × 66,512
  4. Step 4: Simplify right side
    42,786x = 4,423,846,144
  5. Step 5: Solve for x
    x = 4,423,846,144/42,786
  6. Step 6: Final answer
    x = 103,394.71

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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.