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Finding the Third Proportional to 193,250 and 413,036

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Solution

The third proportional to 193,250 and 413,036 is: 882,787.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,250 : 413,036 = 413,036 : x
  2. Step 2: Convert to fraction form
    193,250/413,036 = 413,036/x
  3. Step 3: Cross multiply
    193,250x = 413,036 × 413,036
  4. Step 4: Simplify right side
    193,250x = 170,598,737,296
  5. Step 5: Solve for x
    x = 170,598,737,296/193,250
  6. Step 6: Final answer
    x = 882,787.77

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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.