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Finding the Third Proportional to 360.05 and 776.91

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Solution

The third proportional to 360.05 and 776.91 is: 1,676.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.05 : 776.91 = 776.91 : x
  2. Step 2: Convert to fraction form
    360.05/776.91 = 776.91/x
  3. Step 3: Cross multiply
    360.05x = 776.91 × 776.91
  4. Step 4: Simplify right side
    360.05x = 603,583.32
  5. Step 5: Solve for x
    x = 603,583.32/360.05
  6. Step 6: Final answer
    x = 1,676.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.