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Finding the Third Proportional to 812.65 and 1,772.67

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Solution

The third proportional to 812.65 and 1,772.67 is: 3,866.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.65 : 1,772.67 = 1,772.67 : x
  2. Step 2: Convert to fraction form
    812.65/1,772.67 = 1,772.67/x
  3. Step 3: Cross multiply
    812.65x = 1,772.67 × 1,772.67
  4. Step 4: Simplify right side
    812.65x = 3,142,344.80
  5. Step 5: Solve for x
    x = 3,142,344.80/812.65
  6. Step 6: Final answer
    x = 3,866.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.