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Finding the Third Proportional to 218,180 and 293,190

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Solution

The third proportional to 218,180 and 293,190 is: 393,988.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,180 : 293,190 = 293,190 : x
  2. Step 2: Convert to fraction form
    218,180/293,190 = 293,190/x
  3. Step 3: Cross multiply
    218,180x = 293,190 × 293,190
  4. Step 4: Simplify right side
    218,180x = 85,960,376,100
  5. Step 5: Solve for x
    x = 85,960,376,100/218,180
  6. Step 6: Final answer
    x = 393,988.34

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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.