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Finding the Third Proportional to 161,435 and 329,440

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Solution

The third proportional to 161,435 and 329,440 is: 672,287.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,435 : 329,440 = 329,440 : x
  2. Step 2: Convert to fraction form
    161,435/329,440 = 329,440/x
  3. Step 3: Cross multiply
    161,435x = 329,440 × 329,440
  4. Step 4: Simplify right side
    161,435x = 108,530,713,600
  5. Step 5: Solve for x
    x = 108,530,713,600/161,435
  6. Step 6: Final answer
    x = 672,287.38

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.