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Finding the Third Proportional to 90,419.50 and 193,295

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Solution

The third proportional to 90,419.50 and 193,295 is: 413,217.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,419.50 : 193,295 = 193,295 : x
  2. Step 2: Convert to fraction form
    90,419.50/193,295 = 193,295/x
  3. Step 3: Cross multiply
    90,419.50x = 193,295 × 193,295
  4. Step 4: Simplify right side
    90,419.50x = 37,362,957,025
  5. Step 5: Solve for x
    x = 37,362,957,025/90,419.50
  6. Step 6: Final answer
    x = 413,217.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.