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Finding the Third Proportional to 228,209.91 and 354,754.69

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Solution

The third proportional to 228,209.91 and 354,754.69 is: 551,469.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,209.91 : 354,754.69 = 354,754.69 : x
  2. Step 2: Convert to fraction form
    228,209.91/354,754.69 = 354,754.69/x
  3. Step 3: Cross multiply
    228,209.91x = 354,754.69 × 354,754.69
  4. Step 4: Simplify right side
    228,209.91x = 125,850,888,303.22
  5. Step 5: Solve for x
    x = 125,850,888,303.22/228,209.91
  6. Step 6: Final answer
    x = 551,469.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.