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Finding the Third Proportional to 80,410.69 and 171,508.64

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Solution

The third proportional to 80,410.69 and 171,508.64 is: 365,812.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,410.69 : 171,508.64 = 171,508.64 : x
  2. Step 2: Convert to fraction form
    80,410.69/171,508.64 = 171,508.64/x
  3. Step 3: Cross multiply
    80,410.69x = 171,508.64 × 171,508.64
  4. Step 4: Simplify right side
    80,410.69x = 29,415,213,809.04
  5. Step 5: Solve for x
    x = 29,415,213,809.04/80,410.69
  6. Step 6: Final answer
    x = 365,812.21

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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.