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Finding the Third Proportional to 253,648 and 393,296

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Solution

The third proportional to 253,648 and 393,296 is: 609,828.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,648 : 393,296 = 393,296 : x
  2. Step 2: Convert to fraction form
    253,648/393,296 = 393,296/x
  3. Step 3: Cross multiply
    253,648x = 393,296 × 393,296
  4. Step 4: Simplify right side
    253,648x = 154,681,743,616
  5. Step 5: Solve for x
    x = 154,681,743,616/253,648
  6. Step 6: Final answer
    x = 609,828.36

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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.