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Finding the Third Proportional to 193,872 and 405,312

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Solution

The third proportional to 193,872 and 405,312 is: 847,351.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,872 : 405,312 = 405,312 : x
  2. Step 2: Convert to fraction form
    193,872/405,312 = 405,312/x
  3. Step 3: Cross multiply
    193,872x = 405,312 × 405,312
  4. Step 4: Simplify right side
    193,872x = 164,277,817,344
  5. Step 5: Solve for x
    x = 164,277,817,344/193,872
  6. Step 6: Final answer
    x = 847,351.95

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.