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Finding the Third Proportional to 47,979 and 105,480

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Solution

The third proportional to 47,979 and 105,480 is: 231,893.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,979 : 105,480 = 105,480 : x
  2. Step 2: Convert to fraction form
    47,979/105,480 = 105,480/x
  3. Step 3: Cross multiply
    47,979x = 105,480 × 105,480
  4. Step 4: Simplify right side
    47,979x = 11,126,030,400
  5. Step 5: Solve for x
    x = 11,126,030,400/47,979
  6. Step 6: Final answer
    x = 231,893.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.