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Finding the Third Proportional to 815.16 and 1,763.20

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Solution

The third proportional to 815.16 and 1,763.20 is: 3,813.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.16 : 1,763.20 = 1,763.20 : x
  2. Step 2: Convert to fraction form
    815.16/1,763.20 = 1,763.20/x
  3. Step 3: Cross multiply
    815.16x = 1,763.20 × 1,763.20
  4. Step 4: Simplify right side
    815.16x = 3,108,885.26
  5. Step 5: Solve for x
    x = 3,108,885.26/815.16
  6. Step 6: Final answer
    x = 3,813.85

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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.