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Finding the Third Proportional to 76,489.25 and 165,690.63

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Solution

The third proportional to 76,489.25 and 165,690.63 is: 358,918.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,489.25 : 165,690.63 = 165,690.63 : x
  2. Step 2: Convert to fraction form
    76,489.25/165,690.63 = 165,690.63/x
  3. Step 3: Cross multiply
    76,489.25x = 165,690.63 × 165,690.63
  4. Step 4: Simplify right side
    76,489.25x = 27,453,383,212.89
  5. Step 5: Solve for x
    x = 27,453,383,212.89/76,489.25
  6. Step 6: Final answer
    x = 358,918.19

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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.