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Finding the Third Proportional to 77,680.50 and 165,529

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Solution

The third proportional to 77,680.50 and 165,529 is: 352,724.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,680.50 : 165,529 = 165,529 : x
  2. Step 2: Convert to fraction form
    77,680.50/165,529 = 165,529/x
  3. Step 3: Cross multiply
    77,680.50x = 165,529 × 165,529
  4. Step 4: Simplify right side
    77,680.50x = 27,399,849,841
  5. Step 5: Solve for x
    x = 27,399,849,841/77,680.50
  6. Step 6: Final answer
    x = 352,724.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.