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Finding the Third Proportional to 51,078 and 118,695

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Solution

The third proportional to 51,078 and 118,695 is: 275,823.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,078 : 118,695 = 118,695 : x
  2. Step 2: Convert to fraction form
    51,078/118,695 = 118,695/x
  3. Step 3: Cross multiply
    51,078x = 118,695 × 118,695
  4. Step 4: Simplify right side
    51,078x = 14,088,503,025
  5. Step 5: Solve for x
    x = 14,088,503,025/51,078
  6. Step 6: Final answer
    x = 275,823.31

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.