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Finding the Third Proportional to 161,534 and 331,128

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Solution

The third proportional to 161,534 and 331,128 is: 678,778.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,534 : 331,128 = 331,128 : x
  2. Step 2: Convert to fraction form
    161,534/331,128 = 331,128/x
  3. Step 3: Cross multiply
    161,534x = 331,128 × 331,128
  4. Step 4: Simplify right side
    161,534x = 109,645,752,384
  5. Step 5: Solve for x
    x = 109,645,752,384/161,534
  6. Step 6: Final answer
    x = 678,778.17

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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.