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Finding the Third Proportional to 133,328 and 281,644

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Solution

The third proportional to 133,328 and 281,644 is: 594,948.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,328 : 281,644 = 281,644 : x
  2. Step 2: Convert to fraction form
    133,328/281,644 = 281,644/x
  3. Step 3: Cross multiply
    133,328x = 281,644 × 281,644
  4. Step 4: Simplify right side
    133,328x = 79,323,342,736
  5. Step 5: Solve for x
    x = 79,323,342,736/133,328
  6. Step 6: Final answer
    x = 594,948.87

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.