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Finding the Third Proportional to 51,555 and 113,073

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Solution

The third proportional to 51,555 and 113,073 is: 247,997.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,555 : 113,073 = 113,073 : x
  2. Step 2: Convert to fraction form
    51,555/113,073 = 113,073/x
  3. Step 3: Cross multiply
    51,555x = 113,073 × 113,073
  4. Step 4: Simplify right side
    51,555x = 12,785,503,329
  5. Step 5: Solve for x
    x = 12,785,503,329/51,555
  6. Step 6: Final answer
    x = 247,997.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.