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Finding the Third Proportional to 76,500 and 165,705

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Solution

The third proportional to 76,500 and 165,705 is: 358,930.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,500 : 165,705 = 165,705 : x
  2. Step 2: Convert to fraction form
    76,500/165,705 = 165,705/x
  3. Step 3: Cross multiply
    76,500x = 165,705 × 165,705
  4. Step 4: Simplify right side
    76,500x = 27,458,147,025
  5. Step 5: Solve for x
    x = 27,458,147,025/76,500
  6. Step 6: Final answer
    x = 358,930.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.