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Finding the Third Proportional to 193,168 and 307,367

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Solution

The third proportional to 193,168 and 307,367 is: 489,079.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,168 : 307,367 = 307,367 : x
  2. Step 2: Convert to fraction form
    193,168/307,367 = 307,367/x
  3. Step 3: Cross multiply
    193,168x = 307,367 × 307,367
  4. Step 4: Simplify right side
    193,168x = 94,474,472,689
  5. Step 5: Solve for x
    x = 94,474,472,689/193,168
  6. Step 6: Final answer
    x = 489,079.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.