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Finding the Third Proportional to 1,941.80 and 4,155.70

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Solution

The third proportional to 1,941.80 and 4,155.70 is: 8,893.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.80 : 4,155.70 = 4,155.70 : x
  2. Step 2: Convert to fraction form
    1,941.80/4,155.70 = 4,155.70/x
  3. Step 3: Cross multiply
    1,941.80x = 4,155.70 × 4,155.70
  4. Step 4: Simplify right side
    1,941.80x = 17,269,868.46
  5. Step 5: Solve for x
    x = 17,269,868.46/1,941.80
  6. Step 6: Final answer
    x = 8,893.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.