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Finding the Third Proportional to 228,914 and 354,159

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Solution

The third proportional to 228,914 and 354,159 is: 547,928.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,914 : 354,159 = 354,159 : x
  2. Step 2: Convert to fraction form
    228,914/354,159 = 354,159/x
  3. Step 3: Cross multiply
    228,914x = 354,159 × 354,159
  4. Step 4: Simplify right side
    228,914x = 125,428,597,281
  5. Step 5: Solve for x
    x = 125,428,597,281/228,914
  6. Step 6: Final answer
    x = 547,928.90

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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.