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Finding the Third Proportional to 253,891 and 393,602

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Solution

The third proportional to 253,891 and 393,602 is: 610,193.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,891 : 393,602 = 393,602 : x
  2. Step 2: Convert to fraction form
    253,891/393,602 = 393,602/x
  3. Step 3: Cross multiply
    253,891x = 393,602 × 393,602
  4. Step 4: Simplify right side
    253,891x = 154,922,534,404
  5. Step 5: Solve for x
    x = 154,922,534,404/253,891
  6. Step 6: Final answer
    x = 610,193.09

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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.