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Finding the Third Proportional to 358.59 and 556.45

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Solution

The third proportional to 358.59 and 556.45 is: 863.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.59 : 556.45 = 556.45 : x
  2. Step 2: Convert to fraction form
    358.59/556.45 = 556.45/x
  3. Step 3: Cross multiply
    358.59x = 556.45 × 556.45
  4. Step 4: Simplify right side
    358.59x = 309,640.08
  5. Step 5: Solve for x
    x = 309,640.08/358.59
  6. Step 6: Final answer
    x = 863.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.