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Finding the Third Proportional to 228,279 and 354,852

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Solution

The third proportional to 228,279 and 354,852 is: 551,605.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,279 : 354,852 = 354,852 : x
  2. Step 2: Convert to fraction form
    228,279/354,852 = 354,852/x
  3. Step 3: Cross multiply
    228,279x = 354,852 × 354,852
  4. Step 4: Simplify right side
    228,279x = 125,919,941,904
  5. Step 5: Solve for x
    x = 125,919,941,904/228,279
  6. Step 6: Final answer
    x = 551,605.46

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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.