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Finding the Third Proportional to 218,450 and 293,367

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Solution

The third proportional to 218,450 and 293,367 is: 393,976.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,450 : 293,367 = 293,367 : x
  2. Step 2: Convert to fraction form
    218,450/293,367 = 293,367/x
  3. Step 3: Cross multiply
    218,450x = 293,367 × 293,367
  4. Step 4: Simplify right side
    218,450x = 86,064,196,689
  5. Step 5: Solve for x
    x = 86,064,196,689/218,450
  6. Step 6: Final answer
    x = 393,976.64

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.