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Finding the Third Proportional to 161,406 and 329,370

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Solution

The third proportional to 161,406 and 329,370 is: 672,122.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,406 : 329,370 = 329,370 : x
  2. Step 2: Convert to fraction form
    161,406/329,370 = 329,370/x
  3. Step 3: Cross multiply
    161,406x = 329,370 × 329,370
  4. Step 4: Simplify right side
    161,406x = 108,484,596,900
  5. Step 5: Solve for x
    x = 108,484,596,900/161,406
  6. Step 6: Final answer
    x = 672,122.45

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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.