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Finding the Third Proportional to 400.19 and 585.94

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Solution

The third proportional to 400.19 and 585.94 is: 857.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.19 : 585.94 = 585.94 : x
  2. Step 2: Convert to fraction form
    400.19/585.94 = 585.94/x
  3. Step 3: Cross multiply
    400.19x = 585.94 × 585.94
  4. Step 4: Simplify right side
    400.19x = 343,322.75
  5. Step 5: Solve for x
    x = 343,322.75/400.19
  6. Step 6: Final answer
    x = 857.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.