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Finding the Third Proportional to 358.13 and 776.34

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Solution

The third proportional to 358.13 and 776.34 is: 1,682.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.13 : 776.34 = 776.34 : x
  2. Step 2: Convert to fraction form
    358.13/776.34 = 776.34/x
  3. Step 3: Cross multiply
    358.13x = 776.34 × 776.34
  4. Step 4: Simplify right side
    358.13x = 602,709.62
  5. Step 5: Solve for x
    x = 602,709.62/358.13
  6. Step 6: Final answer
    x = 1,682.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.