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Finding the Third Proportional to 3,543.75 and 5,946.75

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Solution

The third proportional to 3,543.75 and 5,946.75 is: 9,979.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.75 : 5,946.75 = 5,946.75 : x
  2. Step 2: Convert to fraction form
    3,543.75/5,946.75 = 5,946.75/x
  3. Step 3: Cross multiply
    3,543.75x = 5,946.75 × 5,946.75
  4. Step 4: Simplify right side
    3,543.75x = 35,363,835.56
  5. Step 5: Solve for x
    x = 35,363,835.56/3,543.75
  6. Step 6: Final answer
    x = 9,979.21

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.