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Finding the Third Proportional to 400.86 and 599.68

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Solution

The third proportional to 400.86 and 599.68 is: 897.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.86 : 599.68 = 599.68 : x
  2. Step 2: Convert to fraction form
    400.86/599.68 = 599.68/x
  3. Step 3: Cross multiply
    400.86x = 599.68 × 599.68
  4. Step 4: Simplify right side
    400.86x = 359,615.73
  5. Step 5: Solve for x
    x = 359,615.73/400.86
  6. Step 6: Final answer
    x = 897.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.