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Finding the Third Proportional to 220,970 and 345,672

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Solution

The third proportional to 220,970 and 345,672 is: 540,748.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,970 : 345,672 = 345,672 : x
  2. Step 2: Convert to fraction form
    220,970/345,672 = 345,672/x
  3. Step 3: Cross multiply
    220,970x = 345,672 × 345,672
  4. Step 4: Simplify right side
    220,970x = 119,489,131,584
  5. Step 5: Solve for x
    x = 119,489,131,584/220,970
  6. Step 6: Final answer
    x = 540,748.21

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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.