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Finding the Third Proportional to 133,250 and 283,762

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Solution

The third proportional to 133,250 and 283,762 is: 604,284.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,250 : 283,762 = 283,762 : x
  2. Step 2: Convert to fraction form
    133,250/283,762 = 283,762/x
  3. Step 3: Cross multiply
    133,250x = 283,762 × 283,762
  4. Step 4: Simplify right side
    133,250x = 80,520,872,644
  5. Step 5: Solve for x
    x = 80,520,872,644/133,250
  6. Step 6: Final answer
    x = 604,284.22

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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.