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Finding the Third Proportional to 133,243 and 281,457

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Solution

The third proportional to 133,243 and 281,457 is: 594,538.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,243 : 281,457 = 281,457 : x
  2. Step 2: Convert to fraction form
    133,243/281,457 = 281,457/x
  3. Step 3: Cross multiply
    133,243x = 281,457 × 281,457
  4. Step 4: Simplify right side
    133,243x = 79,218,042,849
  5. Step 5: Solve for x
    x = 79,218,042,849/133,243
  6. Step 6: Final answer
    x = 594,538.12

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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.