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Finding the Third Proportional to 358.13 and 511.88

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Solution

The third proportional to 358.13 and 511.88 is: 731.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.13 : 511.88 = 511.88 : x
  2. Step 2: Convert to fraction form
    358.13/511.88 = 511.88/x
  3. Step 3: Cross multiply
    358.13x = 511.88 × 511.88
  4. Step 4: Simplify right side
    358.13x = 262,016.02
  5. Step 5: Solve for x
    x = 262,016.02/358.13
  6. Step 6: Final answer
    x = 731.63

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.