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Finding the Third Proportional to 418.50 and 869.91

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Solution

The third proportional to 418.50 and 869.91 is: 1,808.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.50 : 869.91 = 869.91 : x
  2. Step 2: Convert to fraction form
    418.50/869.91 = 869.91/x
  3. Step 3: Cross multiply
    418.50x = 869.91 × 869.91
  4. Step 4: Simplify right side
    418.50x = 756,736.88
  5. Step 5: Solve for x
    x = 756,736.88/418.50
  6. Step 6: Final answer
    x = 1,808.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.