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Finding the Third Proportional to 414.63 and 581.16

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Solution

The third proportional to 414.63 and 581.16 is: 814.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.63 : 581.16 = 581.16 : x
  2. Step 2: Convert to fraction form
    414.63/581.16 = 581.16/x
  3. Step 3: Cross multiply
    414.63x = 581.16 × 581.16
  4. Step 4: Simplify right side
    414.63x = 337,742.59
  5. Step 5: Solve for x
    x = 337,742.59/414.63
  6. Step 6: Final answer
    x = 814.57

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.