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Finding the Third Proportional to 358.31 and 476.16

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Solution

The third proportional to 358.31 and 476.16 is: 632.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.31 : 476.16 = 476.16 : x
  2. Step 2: Convert to fraction form
    358.31/476.16 = 476.16/x
  3. Step 3: Cross multiply
    358.31x = 476.16 × 476.16
  4. Step 4: Simplify right side
    358.31x = 226,724.77
  5. Step 5: Solve for x
    x = 226,724.77/358.31
  6. Step 6: Final answer
    x = 632.76

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.