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Finding the Third Proportional to 356.31 and 765.81

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Solution

The third proportional to 356.31 and 765.81 is: 1,645.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.31 : 765.81 = 765.81 : x
  2. Step 2: Convert to fraction form
    356.31/765.81 = 765.81/x
  3. Step 3: Cross multiply
    356.31x = 765.81 × 765.81
  4. Step 4: Simplify right side
    356.31x = 586,468.79
  5. Step 5: Solve for x
    x = 586,468.79/356.31
  6. Step 6: Final answer
    x = 1,645.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.