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Finding the Third Proportional to 220,612 and 330,028

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Solution

The third proportional to 220,612 and 330,028 is: 493,710.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,612 : 330,028 = 330,028 : x
  2. Step 2: Convert to fraction form
    220,612/330,028 = 330,028/x
  3. Step 3: Cross multiply
    220,612x = 330,028 × 330,028
  4. Step 4: Simplify right side
    220,612x = 108,918,480,784
  5. Step 5: Solve for x
    x = 108,918,480,784/220,612
  6. Step 6: Final answer
    x = 493,710.59

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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.