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Finding the Third Proportional to 43,400 and 67,638

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Solution

The third proportional to 43,400 and 67,638 is: 105,412.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,400 : 67,638 = 67,638 : x
  2. Step 2: Convert to fraction form
    43,400/67,638 = 67,638/x
  3. Step 3: Cross multiply
    43,400x = 67,638 × 67,638
  4. Step 4: Simplify right side
    43,400x = 4,574,899,044
  5. Step 5: Solve for x
    x = 4,574,899,044/43,400
  6. Step 6: Final answer
    x = 105,412.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.