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Finding the Third Proportional to 47,385 and 78,961

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Solution

The third proportional to 47,385 and 78,961 is: 131,578.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,385 : 78,961 = 78,961 : x
  2. Step 2: Convert to fraction form
    47,385/78,961 = 78,961/x
  3. Step 3: Cross multiply
    47,385x = 78,961 × 78,961
  4. Step 4: Simplify right side
    47,385x = 6,234,839,521
  5. Step 5: Solve for x
    x = 6,234,839,521/47,385
  6. Step 6: Final answer
    x = 131,578.34

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.