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Finding the Third Proportional to 418.50 and 986.44

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Solution

The third proportional to 418.50 and 986.44 is: 2,325.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.50 : 986.44 = 986.44 : x
  2. Step 2: Convert to fraction form
    418.50/986.44 = 986.44/x
  3. Step 3: Cross multiply
    418.50x = 986.44 × 986.44
  4. Step 4: Simplify right side
    418.50x = 973,058.94
  5. Step 5: Solve for x
    x = 973,058.94/418.50
  6. Step 6: Final answer
    x = 2,325.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.