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Finding the Third Proportional to 275,537 and 421,455

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Solution

The third proportional to 275,537 and 421,455 is: 644,647.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,537 : 421,455 = 421,455 : x
  2. Step 2: Convert to fraction form
    275,537/421,455 = 421,455/x
  3. Step 3: Cross multiply
    275,537x = 421,455 × 421,455
  4. Step 4: Simplify right side
    275,537x = 177,624,317,025
  5. Step 5: Solve for x
    x = 177,624,317,025/275,537
  6. Step 6: Final answer
    x = 644,647.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.