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Finding the Third Proportional to 30,371 and 47,638

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Solution

The third proportional to 30,371 and 47,638 is: 74,721.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,371 : 47,638 = 47,638 : x
  2. Step 2: Convert to fraction form
    30,371/47,638 = 47,638/x
  3. Step 3: Cross multiply
    30,371x = 47,638 × 47,638
  4. Step 4: Simplify right side
    30,371x = 2,269,379,044
  5. Step 5: Solve for x
    x = 2,269,379,044/30,371
  6. Step 6: Final answer
    x = 74,721.91

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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.