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Finding the Third Proportional to 253,667 and 393,326

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Solution

The third proportional to 253,667 and 393,326 is: 609,875.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,667 : 393,326 = 393,326 : x
  2. Step 2: Convert to fraction form
    253,667/393,326 = 393,326/x
  3. Step 3: Cross multiply
    253,667x = 393,326 × 393,326
  4. Step 4: Simplify right side
    253,667x = 154,705,342,276
  5. Step 5: Solve for x
    x = 154,705,342,276/253,667
  6. Step 6: Final answer
    x = 609,875.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.