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Finding the Third Proportional to 220,579.25 and 329,988

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Solution

The third proportional to 220,579.25 and 329,988 is: 493,664.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,579.25 : 329,988 = 329,988 : x
  2. Step 2: Convert to fraction form
    220,579.25/329,988 = 329,988/x
  3. Step 3: Cross multiply
    220,579.25x = 329,988 × 329,988
  4. Step 4: Simplify right side
    220,579.25x = 108,892,080,144
  5. Step 5: Solve for x
    x = 108,892,080,144/220,579.25
  6. Step 6: Final answer
    x = 493,664.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.