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Finding the Third Proportional to 203,485 and 322,455

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Solution

The third proportional to 203,485 and 322,455 is: 510,982.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,485 : 322,455 = 322,455 : x
  2. Step 2: Convert to fraction form
    203,485/322,455 = 322,455/x
  3. Step 3: Cross multiply
    203,485x = 322,455 × 322,455
  4. Step 4: Simplify right side
    203,485x = 103,977,227,025
  5. Step 5: Solve for x
    x = 103,977,227,025/203,485
  6. Step 6: Final answer
    x = 510,982.27

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.