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Finding the Third Proportional to 80,555 and 174,385

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Solution

The third proportional to 80,555 and 174,385 is: 377,507.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,555 : 174,385 = 174,385 : x
  2. Step 2: Convert to fraction form
    80,555/174,385 = 174,385/x
  3. Step 3: Cross multiply
    80,555x = 174,385 × 174,385
  4. Step 4: Simplify right side
    80,555x = 30,410,128,225
  5. Step 5: Solve for x
    x = 30,410,128,225/80,555
  6. Step 6: Final answer
    x = 377,507.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.