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Finding the Third Proportional to 133,036 and 283,321

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Solution

The third proportional to 133,036 and 283,321 is: 603,376.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,036 : 283,321 = 283,321 : x
  2. Step 2: Convert to fraction form
    133,036/283,321 = 283,321/x
  3. Step 3: Cross multiply
    133,036x = 283,321 × 283,321
  4. Step 4: Simplify right side
    133,036x = 80,270,789,041
  5. Step 5: Solve for x
    x = 80,270,789,041/133,036
  6. Step 6: Final answer
    x = 603,376.45

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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.