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Finding the Third Proportional to 133,892 and 288,520

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Solution

The third proportional to 133,892 and 288,520 is: 621,723.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,892 : 288,520 = 288,520 : x
  2. Step 2: Convert to fraction form
    133,892/288,520 = 288,520/x
  3. Step 3: Cross multiply
    133,892x = 288,520 × 288,520
  4. Step 4: Simplify right side
    133,892x = 83,243,790,400
  5. Step 5: Solve for x
    x = 83,243,790,400/133,892
  6. Step 6: Final answer
    x = 621,723.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.