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Finding the Third Proportional to 180,662 and 393,494

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Solution

The third proportional to 180,662 and 393,494 is: 857,056.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,662 : 393,494 = 393,494 : x
  2. Step 2: Convert to fraction form
    180,662/393,494 = 393,494/x
  3. Step 3: Cross multiply
    180,662x = 393,494 × 393,494
  4. Step 4: Simplify right side
    180,662x = 154,837,528,036
  5. Step 5: Solve for x
    x = 154,837,528,036/180,662
  6. Step 6: Final answer
    x = 857,056.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.