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Finding the Third Proportional to 153,966 and 320,172

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Solution

The third proportional to 153,966 and 320,172 is: 665,797.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,966 : 320,172 = 320,172 : x
  2. Step 2: Convert to fraction form
    153,966/320,172 = 320,172/x
  3. Step 3: Cross multiply
    153,966x = 320,172 × 320,172
  4. Step 4: Simplify right side
    153,966x = 102,510,109,584
  5. Step 5: Solve for x
    x = 102,510,109,584/153,966
  6. Step 6: Final answer
    x = 665,797.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.