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Finding the Third Proportional to 80,730 and 164,742

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Solution

The third proportional to 80,730 and 164,742 is: 336,181.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,730 : 164,742 = 164,742 : x
  2. Step 2: Convert to fraction form
    80,730/164,742 = 164,742/x
  3. Step 3: Cross multiply
    80,730x = 164,742 × 164,742
  4. Step 4: Simplify right side
    80,730x = 27,139,926,564
  5. Step 5: Solve for x
    x = 27,139,926,564/80,730
  6. Step 6: Final answer
    x = 336,181.43

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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.