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Finding the Third Proportional to 161,412 and 329,382

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Solution

The third proportional to 161,412 and 329,382 is: 672,146.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,412 : 329,382 = 329,382 : x
  2. Step 2: Convert to fraction form
    161,412/329,382 = 329,382/x
  3. Step 3: Cross multiply
    161,412x = 329,382 × 329,382
  4. Step 4: Simplify right side
    161,412x = 108,492,501,924
  5. Step 5: Solve for x
    x = 108,492,501,924/161,412
  6. Step 6: Final answer
    x = 672,146.44

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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.