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Finding the Third Proportional to 133,240 and 281,451

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Solution

The third proportional to 133,240 and 281,451 is: 594,526.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,240 : 281,451 = 281,451 : x
  2. Step 2: Convert to fraction form
    133,240/281,451 = 281,451/x
  3. Step 3: Cross multiply
    133,240x = 281,451 × 281,451
  4. Step 4: Simplify right side
    133,240x = 79,214,665,401
  5. Step 5: Solve for x
    x = 79,214,665,401/133,240
  6. Step 6: Final answer
    x = 594,526.16

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.