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Finding the Third Proportional to 133,256 and 283,774

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Solution

The third proportional to 133,256 and 283,774 is: 604,308.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,256 : 283,774 = 283,774 : x
  2. Step 2: Convert to fraction form
    133,256/283,774 = 283,774/x
  3. Step 3: Cross multiply
    133,256x = 283,774 × 283,774
  4. Step 4: Simplify right side
    133,256x = 80,527,683,076
  5. Step 5: Solve for x
    x = 80,527,683,076/133,256
  6. Step 6: Final answer
    x = 604,308.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.