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Finding the Third Proportional to 253,669 and 393,329

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Solution

The third proportional to 253,669 and 393,329 is: 609,880.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,669 : 393,329 = 393,329 : x
  2. Step 2: Convert to fraction form
    253,669/393,329 = 393,329/x
  3. Step 3: Cross multiply
    253,669x = 393,329 × 393,329
  4. Step 4: Simplify right side
    253,669x = 154,707,702,241
  5. Step 5: Solve for x
    x = 154,707,702,241/253,669
  6. Step 6: Final answer
    x = 609,880.21

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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.