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Finding the Third Proportional to 85,910 and 177,713

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Solution

The third proportional to 85,910 and 177,713 is: 367,616.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,910 : 177,713 = 177,713 : x
  2. Step 2: Convert to fraction form
    85,910/177,713 = 177,713/x
  3. Step 3: Cross multiply
    85,910x = 177,713 × 177,713
  4. Step 4: Simplify right side
    85,910x = 31,581,910,369
  5. Step 5: Solve for x
    x = 31,581,910,369/85,910
  6. Step 6: Final answer
    x = 367,616.23

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.