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Finding the Third Proportional to 161,600 and 331,252

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Solution

The third proportional to 161,600 and 331,252 is: 679,009.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,600 : 331,252 = 331,252 : x
  2. Step 2: Convert to fraction form
    161,600/331,252 = 331,252/x
  3. Step 3: Cross multiply
    161,600x = 331,252 × 331,252
  4. Step 4: Simplify right side
    161,600x = 109,727,887,504
  5. Step 5: Solve for x
    x = 109,727,887,504/161,600
  6. Step 6: Final answer
    x = 679,009.20

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.