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Finding the Third Proportional to 1,197.70 and 1,816.80

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Solution

The third proportional to 1,197.70 and 1,816.80 is: 2,755.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.70 : 1,816.80 = 1,816.80 : x
  2. Step 2: Convert to fraction form
    1,197.70/1,816.80 = 1,816.80/x
  3. Step 3: Cross multiply
    1,197.70x = 1,816.80 × 1,816.80
  4. Step 4: Simplify right side
    1,197.70x = 3,300,779.27
  5. Step 5: Solve for x
    x = 3,300,779.27/1,197.70
  6. Step 6: Final answer
    x = 2,755.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.