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Finding the Third Proportional to 220,918 and 345,593

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Solution

The third proportional to 220,918 and 345,593 is: 540,628.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,918 : 345,593 = 345,593 : x
  2. Step 2: Convert to fraction form
    220,918/345,593 = 345,593/x
  3. Step 3: Cross multiply
    220,918x = 345,593 × 345,593
  4. Step 4: Simplify right side
    220,918x = 119,434,521,649
  5. Step 5: Solve for x
    x = 119,434,521,649/220,918
  6. Step 6: Final answer
    x = 540,628.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.