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Finding the Third Proportional to 51,102 and 110,953

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Solution

The third proportional to 51,102 and 110,953 is: 240,901.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,102 : 110,953 = 110,953 : x
  2. Step 2: Convert to fraction form
    51,102/110,953 = 110,953/x
  3. Step 3: Cross multiply
    51,102x = 110,953 × 110,953
  4. Step 4: Simplify right side
    51,102x = 12,310,568,209
  5. Step 5: Solve for x
    x = 12,310,568,209/51,102
  6. Step 6: Final answer
    x = 240,901.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.