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Finding the Third Proportional to 365.81 and 776.63

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Solution

The third proportional to 365.81 and 776.63 is: 1,648.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.81 : 776.63 = 776.63 : x
  2. Step 2: Convert to fraction form
    365.81/776.63 = 776.63/x
  3. Step 3: Cross multiply
    365.81x = 776.63 × 776.63
  4. Step 4: Simplify right side
    365.81x = 603,146.39
  5. Step 5: Solve for x
    x = 603,146.39/365.81
  6. Step 6: Final answer
    x = 1,648.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.