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Finding the Third Proportional to 228,077 and 328,538

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Solution

The third proportional to 228,077 and 328,538 is: 473,249.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,077 : 328,538 = 328,538 : x
  2. Step 2: Convert to fraction form
    228,077/328,538 = 328,538/x
  3. Step 3: Cross multiply
    228,077x = 328,538 × 328,538
  4. Step 4: Simplify right side
    228,077x = 107,937,217,444
  5. Step 5: Solve for x
    x = 107,937,217,444/228,077
  6. Step 6: Final answer
    x = 473,249.02

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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.