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Finding the Third Proportional to 398.50 and 699.13

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Solution

The third proportional to 398.50 and 699.13 is: 1,226.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.50 : 699.13 = 699.13 : x
  2. Step 2: Convert to fraction form
    398.50/699.13 = 699.13/x
  3. Step 3: Cross multiply
    398.50x = 699.13 × 699.13
  4. Step 4: Simplify right side
    398.50x = 488,775.77
  5. Step 5: Solve for x
    x = 488,775.77/398.50
  6. Step 6: Final answer
    x = 1,226.54

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.