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Finding the Third Proportional to 418.82 and 985.82

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Solution

The third proportional to 418.82 and 985.82 is: 2,320.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.82 : 985.82 = 985.82 : x
  2. Step 2: Convert to fraction form
    418.82/985.82 = 985.82/x
  3. Step 3: Cross multiply
    418.82x = 985.82 × 985.82
  4. Step 4: Simplify right side
    418.82x = 971,833.99
  5. Step 5: Solve for x
    x = 971,833.99/418.82
  6. Step 6: Final answer
    x = 2,320.43

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.