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Finding the Third Proportional to 220,320 and 329,643

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Solution

The third proportional to 220,320 and 329,643 is: 493,212.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,320 : 329,643 = 329,643 : x
  2. Step 2: Convert to fraction form
    220,320/329,643 = 329,643/x
  3. Step 3: Cross multiply
    220,320x = 329,643 × 329,643
  4. Step 4: Simplify right side
    220,320x = 108,664,507,449
  5. Step 5: Solve for x
    x = 108,664,507,449/220,320
  6. Step 6: Final answer
    x = 493,212.18

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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.