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Finding the Third Proportional to 228,759 and 330,015

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Solution

The third proportional to 228,759 and 330,015 is: 476,090.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,759 : 330,015 = 330,015 : x
  2. Step 2: Convert to fraction form
    228,759/330,015 = 330,015/x
  3. Step 3: Cross multiply
    228,759x = 330,015 × 330,015
  4. Step 4: Simplify right side
    228,759x = 108,909,900,225
  5. Step 5: Solve for x
    x = 108,909,900,225/228,759
  6. Step 6: Final answer
    x = 476,090.12

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.