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Finding the Third Proportional to 225,015.75 and 328,635

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Solution

The third proportional to 225,015.75 and 328,635 is: 479,970.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,015.75 : 328,635 = 328,635 : x
  2. Step 2: Convert to fraction form
    225,015.75/328,635 = 328,635/x
  3. Step 3: Cross multiply
    225,015.75x = 328,635 × 328,635
  4. Step 4: Simplify right side
    225,015.75x = 108,000,963,225
  5. Step 5: Solve for x
    x = 108,000,963,225/225,015.75
  6. Step 6: Final answer
    x = 479,970.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.