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Finding the Third Proportional to 133,240 and 283,742

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Solution

The third proportional to 133,240 and 283,742 is: 604,244.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,240 : 283,742 = 283,742 : x
  2. Step 2: Convert to fraction form
    133,240/283,742 = 283,742/x
  3. Step 3: Cross multiply
    133,240x = 283,742 × 283,742
  4. Step 4: Simplify right side
    133,240x = 80,509,522,564
  5. Step 5: Solve for x
    x = 80,509,522,564/133,240
  6. Step 6: Final answer
    x = 604,244.39

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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.