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Finding the Third Proportional to 161,433 and 329,436

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Solution

The third proportional to 161,433 and 329,436 is: 672,279.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,433 : 329,436 = 329,436 : x
  2. Step 2: Convert to fraction form
    161,433/329,436 = 329,436/x
  3. Step 3: Cross multiply
    161,433x = 329,436 × 329,436
  4. Step 4: Simplify right side
    161,433x = 108,528,078,096
  5. Step 5: Solve for x
    x = 108,528,078,096/161,433
  6. Step 6: Final answer
    x = 672,279.39

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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.