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Finding the Third Proportional to 51,805 and 112,979

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Solution

The third proportional to 51,805 and 112,979 is: 246,390.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,805 : 112,979 = 112,979 : x
  2. Step 2: Convert to fraction form
    51,805/112,979 = 112,979/x
  3. Step 3: Cross multiply
    51,805x = 112,979 × 112,979
  4. Step 4: Simplify right side
    51,805x = 12,764,254,441
  5. Step 5: Solve for x
    x = 12,764,254,441/51,805
  6. Step 6: Final answer
    x = 246,390.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.