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Finding the Third Proportional to 47,178 and 73,638

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Solution

The third proportional to 47,178 and 73,638 is: 114,938.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,178 : 73,638 = 73,638 : x
  2. Step 2: Convert to fraction form
    47,178/73,638 = 73,638/x
  3. Step 3: Cross multiply
    47,178x = 73,638 × 73,638
  4. Step 4: Simplify right side
    47,178x = 5,422,555,044
  5. Step 5: Solve for x
    x = 5,422,555,044/47,178
  6. Step 6: Final answer
    x = 114,938.21

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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.