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Finding the Third Proportional to 227,661.50 and 328,905

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Solution

The third proportional to 227,661.50 and 328,905 is: 475,172.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,661.50 : 328,905 = 328,905 : x
  2. Step 2: Convert to fraction form
    227,661.50/328,905 = 328,905/x
  3. Step 3: Cross multiply
    227,661.50x = 328,905 × 328,905
  4. Step 4: Simplify right side
    227,661.50x = 108,178,499,025
  5. Step 5: Solve for x
    x = 108,178,499,025/227,661.50
  6. Step 6: Final answer
    x = 475,172.57

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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.