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Finding the Third Proportional to 815.25 and 1,923.19

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Solution

The third proportional to 815.25 and 1,923.19 is: 4,536.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.25 : 1,923.19 = 1,923.19 : x
  2. Step 2: Convert to fraction form
    815.25/1,923.19 = 1,923.19/x
  3. Step 3: Cross multiply
    815.25x = 1,923.19 × 1,923.19
  4. Step 4: Simplify right side
    815.25x = 3,698,650.16
  5. Step 5: Solve for x
    x = 3,698,650.16/815.25
  6. Step 6: Final answer
    x = 4,536.83

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.