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Finding the Third Proportional to 200,842 and 266,543

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Solution

The third proportional to 200,842 and 266,543 is: 353,736.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,842 : 266,543 = 266,543 : x
  2. Step 2: Convert to fraction form
    200,842/266,543 = 266,543/x
  3. Step 3: Cross multiply
    200,842x = 266,543 × 266,543
  4. Step 4: Simplify right side
    200,842x = 71,045,170,849
  5. Step 5: Solve for x
    x = 71,045,170,849/200,842
  6. Step 6: Final answer
    x = 353,736.62

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.