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Finding the Third Proportional to 1,800.35 and 4,170.55

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Solution

The third proportional to 1,800.35 and 4,170.55 is: 9,661.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,800.35 : 4,170.55 = 4,170.55 : x
  2. Step 2: Convert to fraction form
    1,800.35/4,170.55 = 4,170.55/x
  3. Step 3: Cross multiply
    1,800.35x = 4,170.55 × 4,170.55
  4. Step 4: Simplify right side
    1,800.35x = 17,393,493.82
  5. Step 5: Solve for x
    x = 17,393,493.82/1,800.35
  6. Step 6: Final answer
    x = 9,661.17

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.