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Finding the Third Proportional to 785.11 and 1,816.59

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Solution

The third proportional to 785.11 and 1,816.59 is: 4,203.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.11 : 1,816.59 = 1,816.59 : x
  2. Step 2: Convert to fraction form
    785.11/1,816.59 = 1,816.59/x
  3. Step 3: Cross multiply
    785.11x = 1,816.59 × 1,816.59
  4. Step 4: Simplify right side
    785.11x = 3,300,012.85
  5. Step 5: Solve for x
    x = 3,300,012.85/785.11
  6. Step 6: Final answer
    x = 4,203.25

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.