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Finding the Third Proportional to 200,724 and 275,242

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Solution

The third proportional to 200,724 and 275,242 is: 377,424.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,724 : 275,242 = 275,242 : x
  2. Step 2: Convert to fraction form
    200,724/275,242 = 275,242/x
  3. Step 3: Cross multiply
    200,724x = 275,242 × 275,242
  4. Step 4: Simplify right side
    200,724x = 75,758,158,564
  5. Step 5: Solve for x
    x = 75,758,158,564/200,724
  6. Step 6: Final answer
    x = 377,424.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.