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Finding the Third Proportional to 116,519.50 and 202,279

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Solution

The third proportional to 116,519.50 and 202,279 is: 351,158.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,519.50 : 202,279 = 202,279 : x
  2. Step 2: Convert to fraction form
    116,519.50/202,279 = 202,279/x
  3. Step 3: Cross multiply
    116,519.50x = 202,279 × 202,279
  4. Step 4: Simplify right side
    116,519.50x = 40,916,793,841
  5. Step 5: Solve for x
    x = 40,916,793,841/116,519.50
  6. Step 6: Final answer
    x = 351,158.34

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.