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Finding the Third Proportional to 29,910 and 40,638

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Solution

The third proportional to 29,910 and 40,638 is: 55,213.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,910 : 40,638 = 40,638 : x
  2. Step 2: Convert to fraction form
    29,910/40,638 = 40,638/x
  3. Step 3: Cross multiply
    29,910x = 40,638 × 40,638
  4. Step 4: Simplify right side
    29,910x = 1,651,447,044
  5. Step 5: Solve for x
    x = 1,651,447,044/29,910
  6. Step 6: Final answer
    x = 55,213.88

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.