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Finding the Third Proportional to 193,568 and 288,270

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Solution

The third proportional to 193,568 and 288,270 is: 429,304.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,568 : 288,270 = 288,270 : x
  2. Step 2: Convert to fraction form
    193,568/288,270 = 288,270/x
  3. Step 3: Cross multiply
    193,568x = 288,270 × 288,270
  4. Step 4: Simplify right side
    193,568x = 83,099,592,900
  5. Step 5: Solve for x
    x = 83,099,592,900/193,568
  6. Step 6: Final answer
    x = 429,304.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.