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Finding the Third Proportional to 161,592 and 331,232

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Solution

The third proportional to 161,592 and 331,232 is: 678,960.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,592 : 331,232 = 331,232 : x
  2. Step 2: Convert to fraction form
    161,592/331,232 = 331,232/x
  3. Step 3: Cross multiply
    161,592x = 331,232 × 331,232
  4. Step 4: Simplify right side
    161,592x = 109,714,637,824
  5. Step 5: Solve for x
    x = 109,714,637,824/161,592
  6. Step 6: Final answer
    x = 678,960.83

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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.