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Finding the Third Proportional to 815.48 and 1,757.95

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Solution

The third proportional to 815.48 and 1,757.95 is: 3,789.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.48 : 1,757.95 = 1,757.95 : x
  2. Step 2: Convert to fraction form
    815.48/1,757.95 = 1,757.95/x
  3. Step 3: Cross multiply
    815.48x = 1,757.95 × 1,757.95
  4. Step 4: Simplify right side
    815.48x = 3,090,399.19
  5. Step 5: Solve for x
    x = 3,090,399.19/815.48
  6. Step 6: Final answer
    x = 3,789.65

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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.