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Finding the Third Proportional to 116,635.50 and 251,202.38

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Solution

The third proportional to 116,635.50 and 251,202.38 is: 541,024.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,635.50 : 251,202.38 = 251,202.38 : x
  2. Step 2: Convert to fraction form
    116,635.50/251,202.38 = 251,202.38/x
  3. Step 3: Cross multiply
    116,635.50x = 251,202.38 × 251,202.38
  4. Step 4: Simplify right side
    116,635.50x = 63,102,633,205.64
  5. Step 5: Solve for x
    x = 63,102,633,205.64/116,635.50
  6. Step 6: Final answer
    x = 541,024.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.