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Finding the Third Proportional to 218,164 and 293,172

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Solution

The third proportional to 218,164 and 293,172 is: 393,968.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,164 : 293,172 = 293,172 : x
  2. Step 2: Convert to fraction form
    218,164/293,172 = 293,172/x
  3. Step 3: Cross multiply
    218,164x = 293,172 × 293,172
  4. Step 4: Simplify right side
    218,164x = 85,949,821,584
  5. Step 5: Solve for x
    x = 85,949,821,584/218,164
  6. Step 6: Final answer
    x = 393,968.86

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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.